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Finding the Fourth Proportional to 207,461.20, 289,823.60 and 207,461.20

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Solution

The fourth proportional to 207,461.20, 289,823.60 and 207,461.20 is: 289,823.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,461.20 : 289,823.60 = 207,461.20 : x
  2. Step 2: Convert to fraction form
    207,461.20/289,823.60 = 207,461.20/x
  3. Step 3: Cross multiply
    207,461.20x = 289,823.60 × 207,461.20
  4. Step 4: Simplify right side
    207,461.20x = 60,127,151,844.32
  5. Step 5: Solve for x
    x = 60,127,151,844.32/207,461.20
  6. Step 6: Final answer
    x = 289,823.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.