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Finding the Fourth Proportional to 282,465.97, 389,801.70 and 153,403.54

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Solution

The fourth proportional to 282,465.97, 389,801.70 and 153,403.54 is: 211,696.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,465.97 : 389,801.70 = 153,403.54 : x
  2. Step 2: Convert to fraction form
    282,465.97/389,801.70 = 153,403.54/x
  3. Step 3: Cross multiply
    282,465.97x = 389,801.70 × 153,403.54
  4. Step 4: Simplify right side
    282,465.97x = 59,796,960,678.02
  5. Step 5: Solve for x
    x = 59,796,960,678.02/282,465.97
  6. Step 6: Final answer
    x = 211,696.16

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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.