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Finding the Fourth Proportional to 611,374.70, 917,062.05 and 471,406.70

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Solution

The fourth proportional to 611,374.70, 917,062.05 and 471,406.70 is: 707,110.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,374.70 : 917,062.05 = 471,406.70 : x
  2. Step 2: Convert to fraction form
    611,374.70/917,062.05 = 471,406.70/x
  3. Step 3: Cross multiply
    611,374.70x = 917,062.05 × 471,406.70
  4. Step 4: Simplify right side
    611,374.70x = 432,309,194,685.74
  5. Step 5: Solve for x
    x = 432,309,194,685.74/611,374.70
  6. Step 6: Final answer
    x = 707,110.05

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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.