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Finding the Fourth Proportional to 282,970.88, 390,491.67 and 155,646.48

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Solution

The fourth proportional to 282,970.88, 390,491.67 and 155,646.48 is: 214,787.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,970.88 : 390,491.67 = 155,646.48 : x
  2. Step 2: Convert to fraction form
    282,970.88/390,491.67 = 155,646.48/x
  3. Step 3: Cross multiply
    282,970.88x = 390,491.67 × 155,646.48
  4. Step 4: Simplify right side
    282,970.88x = 60,778,653,904.82
  5. Step 5: Solve for x
    x = 60,778,653,904.82/282,970.88
  6. Step 6: Final answer
    x = 214,787.66

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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.