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Finding the Fourth Proportional to 384,772.58, 577,142.47 and 375,762.14

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Solution

The fourth proportional to 384,772.58, 577,142.47 and 375,762.14 is: 563,627.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,772.58 : 577,142.47 = 375,762.14 : x
  2. Step 2: Convert to fraction form
    384,772.58/577,142.47 = 375,762.14/x
  3. Step 3: Cross multiply
    384,772.58x = 577,142.47 × 375,762.14
  4. Step 4: Simplify right side
    384,772.58x = 216,868,287,246.70
  5. Step 5: Solve for x
    x = 216,868,287,246.70/384,772.58
  6. Step 6: Final answer
    x = 563,627.19

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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.