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Finding the Fourth Proportional to 417,277.34, 575,852.64 and 253,877.66

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Solution

The fourth proportional to 417,277.34, 575,852.64 and 253,877.66 is: 350,357.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,277.34 : 575,852.64 = 253,877.66 : x
  2. Step 2: Convert to fraction form
    417,277.34/575,852.64 = 253,877.66/x
  3. Step 3: Cross multiply
    417,277.34x = 575,852.64 × 253,877.66
  4. Step 4: Simplify right side
    417,277.34x = 146,196,120,748.02
  5. Step 5: Solve for x
    x = 146,196,120,748.02/417,277.34
  6. Step 6: Final answer
    x = 350,357.20

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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.