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Finding the Fourth Proportional to 461,775.60, 692,728.20 and 146,199.60

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Solution

The fourth proportional to 461,775.60, 692,728.20 and 146,199.60 is: 219,319.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,775.60 : 692,728.20 = 146,199.60 : x
  2. Step 2: Convert to fraction form
    461,775.60/692,728.20 = 146,199.60/x
  3. Step 3: Cross multiply
    461,775.60x = 692,728.20 × 146,199.60
  4. Step 4: Simplify right side
    461,775.60x = 101,276,585,748.72
  5. Step 5: Solve for x
    x = 101,276,585,748.72/461,775.60
  6. Step 6: Final answer
    x = 219,319.92

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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.