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Finding the Fourth Proportional to 506,527.40, 759,791.10 and 457,538.60

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Solution

The fourth proportional to 506,527.40, 759,791.10 and 457,538.60 is: 686,307.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,527.40 : 759,791.10 = 457,538.60 : x
  2. Step 2: Convert to fraction form
    506,527.40/759,791.10 = 457,538.60/x
  3. Step 3: Cross multiply
    506,527.40x = 759,791.10 × 457,538.60
  4. Step 4: Simplify right side
    506,527.40x = 347,633,756,186.46
  5. Step 5: Solve for x
    x = 347,633,756,186.46/506,527.40
  6. Step 6: Final answer
    x = 686,307.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.