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Finding the Fourth Proportional to 487,477.40, 731,648.10 and 287,547.80

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Solution

The fourth proportional to 487,477.40, 731,648.10 and 287,547.80 is: 431,576.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,477.40 : 731,648.10 = 287,547.80 : x
  2. Step 2: Convert to fraction form
    487,477.40/731,648.10 = 287,547.80/x
  3. Step 3: Cross multiply
    487,477.40x = 731,648.10 × 287,547.80
  4. Step 4: Simplify right side
    487,477.40x = 210,383,801,529.18
  5. Step 5: Solve for x
    x = 210,383,801,529.18/487,477.40
  6. Step 6: Final answer
    x = 431,576.52

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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.