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Finding the Fourth Proportional to 286,277.40, 429,416.10 and 166,211.10

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Solution

The fourth proportional to 286,277.40, 429,416.10 and 166,211.10 is: 249,316.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,277.40 : 429,416.10 = 166,211.10 : x
  2. Step 2: Convert to fraction form
    286,277.40/429,416.10 = 166,211.10/x
  3. Step 3: Cross multiply
    286,277.40x = 429,416.10 × 166,211.10
  4. Step 4: Simplify right side
    286,277.40x = 71,373,722,338.71
  5. Step 5: Solve for x
    x = 71,373,722,338.71/286,277.40
  6. Step 6: Final answer
    x = 249,316.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.