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Finding the Fourth Proportional to 292,004.20, 438,006.30 and 290,035.90

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Solution

The fourth proportional to 292,004.20, 438,006.30 and 290,035.90 is: 435,053.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,004.20 : 438,006.30 = 290,035.90 : x
  2. Step 2: Convert to fraction form
    292,004.20/438,006.30 = 290,035.90/x
  3. Step 3: Cross multiply
    292,004.20x = 438,006.30 × 290,035.90
  4. Step 4: Simplify right side
    292,004.20x = 127,037,551,426.17
  5. Step 5: Solve for x
    x = 127,037,551,426.17/292,004.20
  6. Step 6: Final answer
    x = 435,053.85

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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.