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Finding the Fourth Proportional to 659,701.83, 910,390.29 and 357,895.83

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Solution

The fourth proportional to 659,701.83, 910,390.29 and 357,895.83 is: 493,897.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,701.83 : 910,390.29 = 357,895.83 : x
  2. Step 2: Convert to fraction form
    659,701.83/910,390.29 = 357,895.83/x
  3. Step 3: Cross multiply
    659,701.83x = 910,390.29 × 357,895.83
  4. Step 4: Simplify right side
    659,701.83x = 325,824,888,463.49
  5. Step 5: Solve for x
    x = 325,824,888,463.49/659,701.83
  6. Step 6: Final answer
    x = 493,897.20

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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.