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Finding the Fourth Proportional to 602,041.38, 830,842.59 and 360,277.20

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Solution

The fourth proportional to 602,041.38, 830,842.59 and 360,277.20 is: 497,197.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,041.38 : 830,842.59 = 360,277.20 : x
  2. Step 2: Convert to fraction form
    602,041.38/830,842.59 = 360,277.20/x
  3. Step 3: Cross multiply
    602,041.38x = 830,842.59 × 360,277.20
  4. Step 4: Simplify right side
    602,041.38x = 299,333,641,965.95
  5. Step 5: Solve for x
    x = 299,333,641,965.95/602,041.38
  6. Step 6: Final answer
    x = 497,197.79

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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.