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Finding the Fourth Proportional to 292,569.24, 438,591.12 and 105,537

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Solution

The fourth proportional to 292,569.24, 438,591.12 and 105,537 is: 158,210.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,569.24 : 438,591.12 = 105,537 : x
  2. Step 2: Convert to fraction form
    292,569.24/438,591.12 = 105,537/x
  3. Step 3: Cross multiply
    292,569.24x = 438,591.12 × 105,537
  4. Step 4: Simplify right side
    292,569.24x = 46,287,591,031.44
  5. Step 5: Solve for x
    x = 46,287,591,031.44/292,569.24
  6. Step 6: Final answer
    x = 158,210.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.