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Finding the Fourth Proportional to 456,034, 684,060.72 and 156,513.28

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Solution

The fourth proportional to 456,034, 684,060.72 and 156,513.28 is: 234,773.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,034 : 684,060.72 = 156,513.28 : x
  2. Step 2: Convert to fraction form
    456,034/684,060.72 = 156,513.28/x
  3. Step 3: Cross multiply
    456,034x = 684,060.72 × 156,513.28
  4. Step 4: Simplify right side
    456,034x = 107,064,587,006.36
  5. Step 5: Solve for x
    x = 107,064,587,006.36/456,034
  6. Step 6: Final answer
    x = 234,773.26

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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.