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Finding the Fourth Proportional to 614,438.30, 921,657.45 and 362,495.90

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Solution

The fourth proportional to 614,438.30, 921,657.45 and 362,495.90 is: 543,743.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,438.30 : 921,657.45 = 362,495.90 : x
  2. Step 2: Convert to fraction form
    614,438.30/921,657.45 = 362,495.90/x
  3. Step 3: Cross multiply
    614,438.30x = 921,657.45 × 362,495.90
  4. Step 4: Simplify right side
    614,438.30x = 334,097,046,829.46
  5. Step 5: Solve for x
    x = 334,097,046,829.46/614,438.30
  6. Step 6: Final answer
    x = 543,743.85

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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.