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Finding the Fourth Proportional to 715,683.84, 987,695.28 and 429,198.72

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Solution

The fourth proportional to 715,683.84, 987,695.28 and 429,198.72 is: 592,325.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,683.84 : 987,695.28 = 429,198.72 : x
  2. Step 2: Convert to fraction form
    715,683.84/987,695.28 = 429,198.72/x
  3. Step 3: Cross multiply
    715,683.84x = 987,695.28 × 429,198.72
  4. Step 4: Simplify right side
    715,683.84x = 423,917,549,926.04
  5. Step 5: Solve for x
    x = 423,917,549,926.04/715,683.84
  6. Step 6: Final answer
    x = 592,325.17

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1.5x scale

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.