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Finding the Fourth Proportional to 586,296.64, 879,435.70 and 186,934.71

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Solution

The fourth proportional to 586,296.64, 879,435.70 and 186,934.71 is: 280,399.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,296.64 : 879,435.70 = 186,934.71 : x
  2. Step 2: Convert to fraction form
    586,296.64/879,435.70 = 186,934.71/x
  3. Step 3: Cross multiply
    586,296.64x = 879,435.70 × 186,934.71
  4. Step 4: Simplify right side
    586,296.64x = 164,397,060,373.69
  5. Step 5: Solve for x
    x = 164,397,060,373.69/586,296.64
  6. Step 6: Final answer
    x = 280,399.12

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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.