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Finding the Fourth Proportional to 438,427.10, 657,640.65 and 420,931.10

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Solution

The fourth proportional to 438,427.10, 657,640.65 and 420,931.10 is: 631,396.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,427.10 : 657,640.65 = 420,931.10 : x
  2. Step 2: Convert to fraction form
    438,427.10/657,640.65 = 420,931.10/x
  3. Step 3: Cross multiply
    438,427.10x = 657,640.65 × 420,931.10
  4. Step 4: Simplify right side
    438,427.10x = 276,821,402,209.22
  5. Step 5: Solve for x
    x = 276,821,402,209.22/438,427.10
  6. Step 6: Final answer
    x = 631,396.65

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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.