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Finding the Fourth Proportional to 417,155.13, 575,638.65 and 235,841.90

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Solution

The fourth proportional to 417,155.13, 575,638.65 and 235,841.90 is: 325,441.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,155.13 : 575,638.65 = 235,841.90 : x
  2. Step 2: Convert to fraction form
    417,155.13/575,638.65 = 235,841.90/x
  3. Step 3: Cross multiply
    417,155.13x = 575,638.65 × 235,841.90
  4. Step 4: Simplify right side
    417,155.13x = 135,759,710,051.24
  5. Step 5: Solve for x
    x = 135,759,710,051.24/417,155.13
  6. Step 6: Final answer
    x = 325,441.78

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