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Finding the Fourth Proportional to 286,277.40, 429,416.10 and 99,288.90

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Solution

The fourth proportional to 286,277.40, 429,416.10 and 99,288.90 is: 148,933.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,277.40 : 429,416.10 = 99,288.90 : x
  2. Step 2: Convert to fraction form
    286,277.40/429,416.10 = 99,288.90/x
  3. Step 3: Cross multiply
    286,277.40x = 429,416.10 × 99,288.90
  4. Step 4: Simplify right side
    286,277.40x = 42,636,252,211.29
  5. Step 5: Solve for x
    x = 42,636,252,211.29/286,277.40
  6. Step 6: Final answer
    x = 148,933.35

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