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Finding the Fourth Proportional to 456,681.40, 685,022.10 and 207,363.40

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Solution

The fourth proportional to 456,681.40, 685,022.10 and 207,363.40 is: 311,045.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,681.40 : 685,022.10 = 207,363.40 : x
  2. Step 2: Convert to fraction form
    456,681.40/685,022.10 = 207,363.40/x
  3. Step 3: Cross multiply
    456,681.40x = 685,022.10 × 207,363.40
  4. Step 4: Simplify right side
    456,681.40x = 142,048,511,731.14
  5. Step 5: Solve for x
    x = 142,048,511,731.14/456,681.40
  6. Step 6: Final answer
    x = 311,045.10

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.