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Finding the Fourth Proportional to 286,276.90, 429,415.35 and 99,288.40

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Solution

The fourth proportional to 286,276.90, 429,415.35 and 99,288.40 is: 148,932.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,276.90 : 429,415.35 = 99,288.40 : x
  2. Step 2: Convert to fraction form
    286,276.90/429,415.35 = 99,288.40/x
  3. Step 3: Cross multiply
    286,276.90x = 429,415.35 × 99,288.40
  4. Step 4: Simplify right side
    286,276.90x = 42,635,963,036.94
  5. Step 5: Solve for x
    x = 42,635,963,036.94/286,276.90
  6. Step 6: Final answer
    x = 148,932.60

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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.