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Finding the Fourth Proportional to 286,604.94, 429,946.29 and 99,592.14

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Solution

The fourth proportional to 286,604.94, 429,946.29 and 99,592.14 is: 149,401.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,604.94 : 429,946.29 = 99,592.14 : x
  2. Step 2: Convert to fraction form
    286,604.94/429,946.29 = 99,592.14/x
  3. Step 3: Cross multiply
    286,604.94x = 429,946.29 × 99,592.14
  4. Step 4: Simplify right side
    286,604.94x = 42,819,271,106.16
  5. Step 5: Solve for x
    x = 42,819,271,106.16/286,604.94
  6. Step 6: Final answer
    x = 149,401.72

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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.