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Finding the Fourth Proportional to 971,543.60, 1,456,537.80 and 410,116.40

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Solution

The fourth proportional to 971,543.60, 1,456,537.80 and 410,116.40 is: 614,846.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,543.60 : 1,456,537.80 = 410,116.40 : x
  2. Step 2: Convert to fraction form
    971,543.60/1,456,537.80 = 410,116.40/x
  3. Step 3: Cross multiply
    971,543.60x = 1,456,537.80 × 410,116.40
  4. Step 4: Simplify right side
    971,543.60x = 597,350,038,999.92
  5. Step 5: Solve for x
    x = 597,350,038,999.92/971,543.60
  6. Step 6: Final answer
    x = 614,846.35

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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.