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Finding the Fourth Proportional to 294,639.52, 406,602.64 and 160,503.52

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Solution

The fourth proportional to 294,639.52, 406,602.64 and 160,503.52 is: 221,494.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,639.52 : 406,602.64 = 160,503.52 : x
  2. Step 2: Convert to fraction form
    294,639.52/406,602.64 = 160,503.52/x
  3. Step 3: Cross multiply
    294,639.52x = 406,602.64 × 160,503.52
  4. Step 4: Simplify right side
    294,639.52x = 65,261,154,961.29
  5. Step 5: Solve for x
    x = 65,261,154,961.29/294,639.52
  6. Step 6: Final answer
    x = 221,494.91

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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.