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Finding the Fourth Proportional to 586,920.80, 878,048.40 and 508,901.60

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Solution

The fourth proportional to 586,920.80, 878,048.40 and 508,901.60 is: 761,329.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,920.80 : 878,048.40 = 508,901.60 : x
  2. Step 2: Convert to fraction form
    586,920.80/878,048.40 = 508,901.60/x
  3. Step 3: Cross multiply
    586,920.80x = 878,048.40 × 508,901.60
  4. Step 4: Simplify right side
    586,920.80x = 446,840,235,637.44
  5. Step 5: Solve for x
    x = 446,840,235,637.44/586,920.80
  6. Step 6: Final answer
    x = 761,329.70

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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.