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Finding the Fourth Proportional to 294,876.16, 406,925.04 and 160,740.16

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Solution

The fourth proportional to 294,876.16, 406,925.04 and 160,740.16 is: 221,819.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,876.16 : 406,925.04 = 160,740.16 : x
  2. Step 2: Convert to fraction form
    294,876.16/406,925.04 = 160,740.16/x
  3. Step 3: Cross multiply
    294,876.16x = 406,925.04 × 160,740.16
  4. Step 4: Simplify right side
    294,876.16x = 65,409,196,037.61
  5. Step 5: Solve for x
    x = 65,409,196,037.61/294,876.16
  6. Step 6: Final answer
    x = 221,819.21

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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.