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Finding the Fourth Proportional to 282,802.76, 390,351.93 and 162,024.47

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Solution

The fourth proportional to 282,802.76, 390,351.93 and 162,024.47 is: 223,641.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,802.76 : 390,351.93 = 162,024.47 : x
  2. Step 2: Convert to fraction form
    282,802.76/390,351.93 = 162,024.47/x
  3. Step 3: Cross multiply
    282,802.76x = 390,351.93 × 162,024.47
  4. Step 4: Simplify right side
    282,802.76x = 63,246,562,619.97
  5. Step 5: Solve for x
    x = 63,246,562,619.97/282,802.76
  6. Step 6: Final answer
    x = 223,641.96

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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.