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Finding the Fourth Proportional to 614,708.43, 922,062.63 and 165,430.28

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Solution

The fourth proportional to 614,708.43, 922,062.63 and 165,430.28 is: 248,145.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,708.43 : 922,062.63 = 165,430.28 : x
  2. Step 2: Convert to fraction form
    614,708.43/922,062.63 = 165,430.28/x
  3. Step 3: Cross multiply
    614,708.43x = 922,062.63 × 165,430.28
  4. Step 4: Simplify right side
    614,708.43x = 152,537,074,448.12
  5. Step 5: Solve for x
    x = 152,537,074,448.12/614,708.43
  6. Step 6: Final answer
    x = 248,145.41

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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.