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Finding the Fourth Proportional to 702,938.01, 970,052.74 and 380,648.13

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Solution

The fourth proportional to 702,938.01, 970,052.74 and 380,648.13 is: 525,293.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,938.01 : 970,052.74 = 380,648.13 : x
  2. Step 2: Convert to fraction form
    702,938.01/970,052.74 = 380,648.13/x
  3. Step 3: Cross multiply
    702,938.01x = 970,052.74 × 380,648.13
  4. Step 4: Simplify right side
    702,938.01x = 369,248,761,482.38
  5. Step 5: Solve for x
    x = 369,248,761,482.38/702,938.01
  6. Step 6: Final answer
    x = 525,293.49

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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.