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Finding the Fourth Proportional to 586,167.80, 877,873.84 and 285,706.76

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Solution

The fourth proportional to 586,167.80, 877,873.84 and 285,706.76 is: 427,888.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,167.80 : 877,873.84 = 285,706.76 : x
  2. Step 2: Convert to fraction form
    586,167.80/877,873.84 = 285,706.76/x
  3. Step 3: Cross multiply
    586,167.80x = 877,873.84 × 285,706.76
  4. Step 4: Simplify right side
    586,167.80x = 250,814,490,515.16
  5. Step 5: Solve for x
    x = 250,814,490,515.16/586,167.80
  6. Step 6: Final answer
    x = 427,888.55

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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.