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Finding the Fourth Proportional to 506,857.60, 759,364.80 and 412,854.40

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Solution

The fourth proportional to 506,857.60, 759,364.80 and 412,854.40 is: 618,530.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,857.60 : 759,364.80 = 412,854.40 : x
  2. Step 2: Convert to fraction form
    506,857.60/759,364.80 = 412,854.40/x
  3. Step 3: Cross multiply
    506,857.60x = 759,364.80 × 412,854.40
  4. Step 4: Simplify right side
    506,857.60x = 313,507,098,885.12
  5. Step 5: Solve for x
    x = 313,507,098,885.12/506,857.60
  6. Step 6: Final answer
    x = 618,530.92

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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.