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Finding the Fourth Proportional to 282,465.33, 389,799.79 and 153,407.17

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Solution

The fourth proportional to 282,465.33, 389,799.79 and 153,407.17 is: 211,700.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,465.33 : 389,799.79 = 153,407.17 : x
  2. Step 2: Convert to fraction form
    282,465.33/389,799.79 = 153,407.17/x
  3. Step 3: Cross multiply
    282,465.33x = 389,799.79 × 153,407.17
  4. Step 4: Simplify right side
    282,465.33x = 59,798,081,424.52
  5. Step 5: Solve for x
    x = 59,798,081,424.52/282,465.33
  6. Step 6: Final answer
    x = 211,700.61

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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.