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Finding the Fourth Proportional to 417,032.04, 575,506.31 and 226,043.76

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Solution

The fourth proportional to 417,032.04, 575,506.31 and 226,043.76 is: 311,941.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,032.04 : 575,506.31 = 226,043.76 : x
  2. Step 2: Convert to fraction form
    417,032.04/575,506.31 = 226,043.76/x
  3. Step 3: Cross multiply
    417,032.04x = 575,506.31 × 226,043.76
  4. Step 4: Simplify right side
    417,032.04x = 130,089,609,085.91
  5. Step 5: Solve for x
    x = 130,089,609,085.91/417,032.04
  6. Step 6: Final answer
    x = 311,941.52

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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.