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Finding the Fourth Proportional to 473,337.76, 710,473.20 and 286,713.76

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Solution

The fourth proportional to 473,337.76, 710,473.20 and 286,713.76 is: 430,353.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,337.76 : 710,473.20 = 286,713.76 : x
  2. Step 2: Convert to fraction form
    473,337.76/710,473.20 = 286,713.76/x
  3. Step 3: Cross multiply
    473,337.76x = 710,473.20 × 286,713.76
  4. Step 4: Simplify right side
    473,337.76x = 203,702,442,551.23
  5. Step 5: Solve for x
    x = 203,702,442,551.23/473,337.76
  6. Step 6: Final answer
    x = 430,353.25

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1.5x scale

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.