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Finding the Fourth Proportional to 353,242.80, 529,864.20 and 314,535.60

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Solution

The fourth proportional to 353,242.80, 529,864.20 and 314,535.60 is: 471,803.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,242.80 : 529,864.20 = 314,535.60 : x
  2. Step 2: Convert to fraction form
    353,242.80/529,864.20 = 314,535.60/x
  3. Step 3: Cross multiply
    353,242.80x = 529,864.20 × 314,535.60
  4. Step 4: Simplify right side
    353,242.80x = 166,661,154,065.52
  5. Step 5: Solve for x
    x = 166,661,154,065.52/353,242.80
  6. Step 6: Final answer
    x = 471,803.40

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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.