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Finding the Fourth Proportional to 417,253.14, 575,562.65 and 266,350.14

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Solution

The fourth proportional to 417,253.14, 575,562.65 and 266,350.14 is: 367,405.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,253.14 : 575,562.65 = 266,350.14 : x
  2. Step 2: Convert to fraction form
    417,253.14/575,562.65 = 266,350.14/x
  3. Step 3: Cross multiply
    417,253.14x = 575,562.65 × 266,350.14
  4. Step 4: Simplify right side
    417,253.14x = 153,301,191,074.52
  5. Step 5: Solve for x
    x = 153,301,191,074.52/417,253.14
  6. Step 6: Final answer
    x = 367,405.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.