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Finding the Fourth Proportional to 700,124.72, 966,184.47 and 413,644.19

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Solution

The fourth proportional to 700,124.72, 966,184.47 and 413,644.19 is: 570,836.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,124.72 : 966,184.47 = 413,644.19 : x
  2. Step 2: Convert to fraction form
    700,124.72/966,184.47 = 413,644.19/x
  3. Step 3: Cross multiply
    700,124.72x = 966,184.47 × 413,644.19
  4. Step 4: Simplify right side
    700,124.72x = 399,656,587,652.81
  5. Step 5: Solve for x
    x = 399,656,587,652.81/700,124.72
  6. Step 6: Final answer
    x = 570,836.28

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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.