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Finding the Fourth Proportional to 284,301.04, 392,324.96 and 156,973.90

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Solution

The fourth proportional to 284,301.04, 392,324.96 and 156,973.90 is: 216,618.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,301.04 : 392,324.96 = 156,973.90 : x
  2. Step 2: Convert to fraction form
    284,301.04/392,324.96 = 156,973.90/x
  3. Step 3: Cross multiply
    284,301.04x = 392,324.96 × 156,973.90
  4. Step 4: Simplify right side
    284,301.04x = 61,584,779,038.54
  5. Step 5: Solve for x
    x = 61,584,779,038.54/284,301.04
  6. Step 6: Final answer
    x = 216,618.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.