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Finding the Fourth Proportional to 602,295, 902,237.98 and 362,276.40

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Solution

The fourth proportional to 602,295, 902,237.98 and 362,276.40 is: 542,690.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,295 : 902,237.98 = 362,276.40 : x
  2. Step 2: Convert to fraction form
    602,295/902,237.98 = 362,276.40/x
  3. Step 3: Cross multiply
    602,295x = 902,237.98 × 362,276.40
  4. Step 4: Simplify right side
    602,295x = 326,859,527,337.67
  5. Step 5: Solve for x
    x = 326,859,527,337.67/602,295
  6. Step 6: Final answer
    x = 542,690.09

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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.