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Finding the Fourth Proportional to 304,854.60, 457,281.90 and 272,195.40

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Solution

The fourth proportional to 304,854.60, 457,281.90 and 272,195.40 is: 408,293.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,854.60 : 457,281.90 = 272,195.40 : x
  2. Step 2: Convert to fraction form
    304,854.60/457,281.90 = 272,195.40/x
  3. Step 3: Cross multiply
    304,854.60x = 457,281.90 × 272,195.40
  4. Step 4: Simplify right side
    304,854.60x = 124,470,029,683.26
  5. Step 5: Solve for x
    x = 124,470,029,683.26/304,854.60
  6. Step 6: Final answer
    x = 408,293.10

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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.