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Finding the Fourth Proportional to 586,746.85, 809,682.64 and 360,348.61

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Solution

The fourth proportional to 586,746.85, 809,682.64 and 360,348.61 is: 497,263.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,746.85 : 809,682.64 = 360,348.61 : x
  2. Step 2: Convert to fraction form
    586,746.85/809,682.64 = 360,348.61/x
  3. Step 3: Cross multiply
    586,746.85x = 809,682.64 × 360,348.61
  4. Step 4: Simplify right side
    586,746.85x = 291,768,013,865.13
  5. Step 5: Solve for x
    x = 291,768,013,865.13/586,746.85
  6. Step 6: Final answer
    x = 497,263.88

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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.