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Finding the Fourth Proportional to 587,032.80, 878,216.40 and 509,013.60

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Solution

The fourth proportional to 587,032.80, 878,216.40 and 509,013.60 is: 761,497.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,032.80 : 878,216.40 = 509,013.60 : x
  2. Step 2: Convert to fraction form
    587,032.80/878,216.40 = 509,013.60/x
  3. Step 3: Cross multiply
    587,032.80x = 878,216.40 × 509,013.60
  4. Step 4: Simplify right side
    587,032.80x = 447,024,091,343.04
  5. Step 5: Solve for x
    x = 447,024,091,343.04/587,032.80
  6. Step 6: Final answer
    x = 761,497.64

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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.