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Finding the Fourth Proportional to 286,364.80, 429,547.20 and 159,875.20

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Solution

The fourth proportional to 286,364.80, 429,547.20 and 159,875.20 is: 239,812.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,364.80 : 429,547.20 = 159,875.20 : x
  2. Step 2: Convert to fraction form
    286,364.80/429,547.20 = 159,875.20/x
  3. Step 3: Cross multiply
    286,364.80x = 429,547.20 × 159,875.20
  4. Step 4: Simplify right side
    286,364.80x = 68,673,944,509.44
  5. Step 5: Solve for x
    x = 68,673,944,509.44/286,364.80
  6. Step 6: Final answer
    x = 239,812.80

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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.