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Finding the Fourth Proportional to 526,909.38, 726,956.54 and 343,064.01

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Solution

The fourth proportional to 526,909.38, 726,956.54 and 343,064.01 is: 473,312.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,909.38 : 726,956.54 = 343,064.01 : x
  2. Step 2: Convert to fraction form
    526,909.38/726,956.54 = 343,064.01/x
  3. Step 3: Cross multiply
    526,909.38x = 726,956.54 × 343,064.01
  4. Step 4: Simplify right side
    526,909.38x = 249,392,623,992.81
  5. Step 5: Solve for x
    x = 249,392,623,992.81/526,909.38
  6. Step 6: Final answer
    x = 473,312.17

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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.