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Finding the Fourth Proportional to 477,870.96, 716,404.69 and 319,616.40

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Solution

The fourth proportional to 477,870.96, 716,404.69 and 319,616.40 is: 479,155.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,870.96 : 716,404.69 = 319,616.40 : x
  2. Step 2: Convert to fraction form
    477,870.96/716,404.69 = 319,616.40/x
  3. Step 3: Cross multiply
    477,870.96x = 716,404.69 × 319,616.40
  4. Step 4: Simplify right side
    477,870.96x = 228,974,689,249.11
  5. Step 5: Solve for x
    x = 228,974,689,249.11/477,870.96
  6. Step 6: Final answer
    x = 479,155.89

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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.