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Finding the Fourth Proportional to 314,060.90, 470,814.80 and 124,654.28

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Solution

The fourth proportional to 314,060.90, 470,814.80 and 124,654.28 is: 186,871.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,060.90 : 470,814.80 = 124,654.28 : x
  2. Step 2: Convert to fraction form
    314,060.90/470,814.80 = 124,654.28/x
  3. Step 3: Cross multiply
    314,060.90x = 470,814.80 × 124,654.28
  4. Step 4: Simplify right side
    314,060.90x = 58,689,076,930.00
  5. Step 5: Solve for x
    x = 58,689,076,930.00/314,060.90
  6. Step 6: Final answer
    x = 186,871.65

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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.