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Finding the Fourth Proportional to 287,655.60, 432,001.80 and 208,858.80

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Solution

The fourth proportional to 287,655.60, 432,001.80 and 208,858.80 is: 313,664.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,655.60 : 432,001.80 = 208,858.80 : x
  2. Step 2: Convert to fraction form
    287,655.60/432,001.80 = 208,858.80/x
  3. Step 3: Cross multiply
    287,655.60x = 432,001.80 × 208,858.80
  4. Step 4: Simplify right side
    287,655.60x = 90,227,377,545.84
  5. Step 5: Solve for x
    x = 90,227,377,545.84/287,655.60
  6. Step 6: Final answer
    x = 313,664.60

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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.