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Finding the Fourth Proportional to 314,587.80, 470,897.55 and 247,665.60

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Solution

The fourth proportional to 314,587.80, 470,897.55 and 247,665.60 is: 370,723.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,587.80 : 470,897.55 = 247,665.60 : x
  2. Step 2: Convert to fraction form
    314,587.80/470,897.55 = 247,665.60/x
  3. Step 3: Cross multiply
    314,587.80x = 470,897.55 × 247,665.60
  4. Step 4: Simplify right side
    314,587.80x = 116,625,124,259.28
  5. Step 5: Solve for x
    x = 116,625,124,259.28/314,587.80
  6. Step 6: Final answer
    x = 370,723.61

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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.