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Finding the Fourth Proportional to 282,966.51, 390,491.92 and 160,482.21

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Solution

The fourth proportional to 282,966.51, 390,491.92 and 160,482.21 is: 221,464.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,966.51 : 390,491.92 = 160,482.21 : x
  2. Step 2: Convert to fraction form
    282,966.51/390,491.92 = 160,482.21/x
  3. Step 3: Cross multiply
    282,966.51x = 390,491.92 × 160,482.21
  4. Step 4: Simplify right side
    282,966.51x = 62,667,006,308.74
  5. Step 5: Solve for x
    x = 62,667,006,308.74/282,966.51
  6. Step 6: Final answer
    x = 221,464.39

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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.