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Finding the Fourth Proportional to 417,518.46, 575,379.99 and 409,841.10

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Solution

The fourth proportional to 417,518.46, 575,379.99 and 409,841.10 is: 564,799.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,518.46 : 575,379.99 = 409,841.10 : x
  2. Step 2: Convert to fraction form
    417,518.46/575,379.99 = 409,841.10/x
  3. Step 3: Cross multiply
    417,518.46x = 575,379.99 × 409,841.10
  4. Step 4: Simplify right side
    417,518.46x = 235,814,368,019.59
  5. Step 5: Solve for x
    x = 235,814,368,019.59/417,518.46
  6. Step 6: Final answer
    x = 564,799.86

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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.