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Finding the Fourth Proportional to 586,726.35, 809,654.36 and 360,328.11

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Solution

The fourth proportional to 586,726.35, 809,654.36 and 360,328.11 is: 497,235.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,726.35 : 809,654.36 = 360,328.11 : x
  2. Step 2: Convert to fraction form
    586,726.35/809,654.36 = 360,328.11/x
  3. Step 3: Cross multiply
    586,726.35x = 809,654.36 × 360,328.11
  4. Step 4: Simplify right side
    586,726.35x = 291,741,225,292.06
  5. Step 5: Solve for x
    x = 291,741,225,292.06/586,726.35
  6. Step 6: Final answer
    x = 497,235.59

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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.