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Finding the Fourth Proportional to 319,047.60, 440,305.02 and 175,807.50

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Solution

The fourth proportional to 319,047.60, 440,305.02 and 175,807.50 is: 242,625.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,047.60 : 440,305.02 = 175,807.50 : x
  2. Step 2: Convert to fraction form
    319,047.60/440,305.02 = 175,807.50/x
  3. Step 3: Cross multiply
    319,047.60x = 440,305.02 × 175,807.50
  4. Step 4: Simplify right side
    319,047.60x = 77,408,924,803.65
  5. Step 5: Solve for x
    x = 77,408,924,803.65/319,047.60
  6. Step 6: Final answer
    x = 242,625.00

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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.