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Finding the Fourth Proportional to 532,427, 734,662.56 and 314,605.36

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Solution

The fourth proportional to 532,427, 734,662.56 and 314,605.36 is: 434,104.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,427 : 734,662.56 = 314,605.36 : x
  2. Step 2: Convert to fraction form
    532,427/734,662.56 = 314,605.36/x
  3. Step 3: Cross multiply
    532,427x = 734,662.56 × 314,605.36
  4. Step 4: Simplify right side
    532,427x = 231,128,779,167.32
  5. Step 5: Solve for x
    x = 231,128,779,167.32/532,427
  6. Step 6: Final answer
    x = 434,104.17

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1.5x scale

Why These Related Problems?

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