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Finding the Fourth Proportional to 314,552.60, 470,907.30 and 277,688.60

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Solution

The fourth proportional to 314,552.60, 470,907.30 and 277,688.60 is: 415,719.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,552.60 : 470,907.30 = 277,688.60 : x
  2. Step 2: Convert to fraction form
    314,552.60/470,907.30 = 277,688.60/x
  3. Step 3: Cross multiply
    314,552.60x = 470,907.30 × 277,688.60
  4. Step 4: Simplify right side
    314,552.60x = 130,765,588,866.78
  5. Step 5: Solve for x
    x = 130,765,588,866.78/314,552.60
  6. Step 6: Final answer
    x = 415,719.31

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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.