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Finding the Fourth Proportional to 586,246.86, 879,434.01 and 186,793.74

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Solution

The fourth proportional to 586,246.86, 879,434.01 and 186,793.74 is: 280,210.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,246.86 : 879,434.01 = 186,793.74 : x
  2. Step 2: Convert to fraction form
    586,246.86/879,434.01 = 186,793.74/x
  3. Step 3: Cross multiply
    586,246.86x = 879,434.01 × 186,793.74
  4. Step 4: Simplify right side
    586,246.86x = 164,272,767,811.10
  5. Step 5: Solve for x
    x = 164,272,767,811.10/586,246.86
  6. Step 6: Final answer
    x = 280,210.91

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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.