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Finding the Fourth Proportional to 287,582.70, 431,374.05 and 287,582.70

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Solution

The fourth proportional to 287,582.70, 431,374.05 and 287,582.70 is: 431,374.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,582.70 : 431,374.05 = 287,582.70 : x
  2. Step 2: Convert to fraction form
    287,582.70/431,374.05 = 287,582.70/x
  3. Step 3: Cross multiply
    287,582.70x = 431,374.05 × 287,582.70
  4. Step 4: Simplify right side
    287,582.70x = 124,055,714,008.94
  5. Step 5: Solve for x
    x = 124,055,714,008.94/287,582.70
  6. Step 6: Final answer
    x = 431,374.05

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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.