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Finding the Fourth Proportional to 702,932.13, 970,050.96 and 380,642.22

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Solution

The fourth proportional to 702,932.13, 970,050.96 and 380,642.22 is: 525,288.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,932.13 : 970,050.96 = 380,642.22 : x
  2. Step 2: Convert to fraction form
    702,932.13/970,050.96 = 380,642.22/x
  3. Step 3: Cross multiply
    702,932.13x = 970,050.96 × 380,642.22
  4. Step 4: Simplify right side
    702,932.13x = 369,242,350,927.53
  5. Step 5: Solve for x
    x = 369,242,350,927.53/702,932.13
  6. Step 6: Final answer
    x = 525,288.77

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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.