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Finding the Fourth Proportional to 282,822, 424,210.80 and 164,417.76

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Solution

The fourth proportional to 282,822, 424,210.80 and 164,417.76 is: 246,613.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,822 : 424,210.80 = 164,417.76 : x
  2. Step 2: Convert to fraction form
    282,822/424,210.80 = 164,417.76/x
  3. Step 3: Cross multiply
    282,822x = 424,210.80 × 164,417.76
  4. Step 4: Simplify right side
    282,822x = 69,747,789,503.81
  5. Step 5: Solve for x
    x = 69,747,789,503.81/282,822
  6. Step 6: Final answer
    x = 246,613.73

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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.