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Finding the Fourth Proportional to 532,129.90, 734,242.57 and 314,374.03

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Solution

The fourth proportional to 532,129.90, 734,242.57 and 314,374.03 is: 433,779.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,129.90 : 734,242.57 = 314,374.03 : x
  2. Step 2: Convert to fraction form
    532,129.90/734,242.57 = 314,374.03/x
  3. Step 3: Cross multiply
    532,129.90x = 734,242.57 × 314,374.03
  4. Step 4: Simplify right side
    532,129.90x = 230,826,795,728.46
  5. Step 5: Solve for x
    x = 230,826,795,728.46/532,129.90
  6. Step 6: Final answer
    x = 433,779.04

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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.