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Finding the Fourth Proportional to 385,506.40, 538,464.80 and 385,506.40

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Solution

The fourth proportional to 385,506.40, 538,464.80 and 385,506.40 is: 538,464.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,506.40 : 538,464.80 = 385,506.40 : x
  2. Step 2: Convert to fraction form
    385,506.40/538,464.80 = 385,506.40/x
  3. Step 3: Cross multiply
    385,506.40x = 538,464.80 × 385,506.40
  4. Step 4: Simplify right side
    385,506.40x = 207,581,626,574.72
  5. Step 5: Solve for x
    x = 207,581,626,574.72/385,506.40
  6. Step 6: Final answer
    x = 538,464.80

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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.