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Finding the Fourth Proportional to 385,587.60, 578,208.60 and 148,851.60

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Solution

The fourth proportional to 385,587.60, 578,208.60 and 148,851.60 is: 223,210.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,587.60 : 578,208.60 = 148,851.60 : x
  2. Step 2: Convert to fraction form
    385,587.60/578,208.60 = 148,851.60/x
  3. Step 3: Cross multiply
    385,587.60x = 578,208.60 × 148,851.60
  4. Step 4: Simplify right side
    385,587.60x = 86,067,275,243.76
  5. Step 5: Solve for x
    x = 86,067,275,243.76/385,587.60
  6. Step 6: Final answer
    x = 223,210.69

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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.