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Finding the Fourth Proportional to 585,686.60, 877,527.27 and 319,634.00

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Solution

The fourth proportional to 585,686.60, 877,527.27 and 319,634.00 is: 478,903.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,686.60 : 877,527.27 = 319,634.00 : x
  2. Step 2: Convert to fraction form
    585,686.60/877,527.27 = 319,634.00/x
  3. Step 3: Cross multiply
    585,686.60x = 877,527.27 × 319,634.00
  4. Step 4: Simplify right side
    585,686.60x = 280,487,550,322.27
  5. Step 5: Solve for x
    x = 280,487,550,322.27/585,686.60
  6. Step 6: Final answer
    x = 478,903.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.