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Finding the Fourth Proportional to 437,547.60, 656,321.40 and 288,248.40

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Solution

The fourth proportional to 437,547.60, 656,321.40 and 288,248.40 is: 432,372.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,547.60 : 656,321.40 = 288,248.40 : x
  2. Step 2: Convert to fraction form
    437,547.60/656,321.40 = 288,248.40/x
  3. Step 3: Cross multiply
    437,547.60x = 656,321.40 × 288,248.40
  4. Step 4: Simplify right side
    437,547.60x = 189,183,593,435.76
  5. Step 5: Solve for x
    x = 189,183,593,435.76/437,547.60
  6. Step 6: Final answer
    x = 432,372.60

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1.5x scale

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.