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Finding the Fourth Proportional to 702,952.10, 1,054,428.15 and 514,945.70

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Solution

The fourth proportional to 702,952.10, 1,054,428.15 and 514,945.70 is: 772,418.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,952.10 : 1,054,428.15 = 514,945.70 : x
  2. Step 2: Convert to fraction form
    702,952.10/1,054,428.15 = 514,945.70/x
  3. Step 3: Cross multiply
    702,952.10x = 1,054,428.15 × 514,945.70
  4. Step 4: Simplify right side
    702,952.10x = 542,973,241,801.46
  5. Step 5: Solve for x
    x = 542,973,241,801.46/702,952.10
  6. Step 6: Final answer
    x = 772,418.55

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Why These Related Problems?

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