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Finding the Fourth Proportional to 431,041.29, 646,615.55 and 146,710

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Solution

The fourth proportional to 431,041.29, 646,615.55 and 146,710 is: 220,083.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,041.29 : 646,615.55 = 146,710 : x
  2. Step 2: Convert to fraction form
    431,041.29/646,615.55 = 146,710/x
  3. Step 3: Cross multiply
    431,041.29x = 646,615.55 × 146,710
  4. Step 4: Simplify right side
    431,041.29x = 94,864,967,340.50
  5. Step 5: Solve for x
    x = 94,864,967,340.50/431,041.29
  6. Step 6: Final answer
    x = 220,083.25

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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.