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Finding the Fourth Proportional to 286,594.40, 429,895.20 and 86,916.80

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Solution

The fourth proportional to 286,594.40, 429,895.20 and 86,916.80 is: 130,376.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,594.40 : 429,895.20 = 86,916.80 : x
  2. Step 2: Convert to fraction form
    286,594.40/429,895.20 = 86,916.80/x
  3. Step 3: Cross multiply
    286,594.40x = 429,895.20 × 86,916.80
  4. Step 4: Simplify right side
    286,594.40x = 37,365,115,119.36
  5. Step 5: Solve for x
    x = 37,365,115,119.36/286,594.40
  6. Step 6: Final answer
    x = 130,376.29

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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.