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Finding the Fourth Proportional to 500,712.77, 747,426.86 and 463,708.73

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Solution

The fourth proportional to 500,712.77, 747,426.86 and 463,708.73 is: 692,189.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,712.77 : 747,426.86 = 463,708.73 : x
  2. Step 2: Convert to fraction form
    500,712.77/747,426.86 = 463,708.73/x
  3. Step 3: Cross multiply
    500,712.77x = 747,426.86 × 463,708.73
  4. Step 4: Simplify right side
    500,712.77x = 346,588,361,307.42
  5. Step 5: Solve for x
    x = 346,588,361,307.42/500,712.77
  6. Step 6: Final answer
    x = 692,189.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.