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Finding the Fourth Proportional to 341,007.80, 470,602.14 and 185,967.60

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Solution

The fourth proportional to 341,007.80, 470,602.14 and 185,967.60 is: 256,641.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,007.80 : 470,602.14 = 185,967.60 : x
  2. Step 2: Convert to fraction form
    341,007.80/470,602.14 = 185,967.60/x
  3. Step 3: Cross multiply
    341,007.80x = 470,602.14 × 185,967.60
  4. Step 4: Simplify right side
    341,007.80x = 87,516,750,530.66
  5. Step 5: Solve for x
    x = 87,516,750,530.66/341,007.80
  6. Step 6: Final answer
    x = 256,641.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.