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Finding the Fourth Proportional to 286,095.87, 429,283.22 and 117,666.69

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Solution

The fourth proportional to 286,095.87, 429,283.22 and 117,666.69 is: 176,557.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,095.87 : 429,283.22 = 117,666.69 : x
  2. Step 2: Convert to fraction form
    286,095.87/429,283.22 = 117,666.69/x
  3. Step 3: Cross multiply
    286,095.87x = 429,283.22 × 117,666.69
  4. Step 4: Simplify right side
    286,095.87x = 50,512,334,981.61
  5. Step 5: Solve for x
    x = 50,512,334,981.61/286,095.87
  6. Step 6: Final answer
    x = 176,557.37

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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.