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Finding the Fourth Proportional to 319,041.60, 440,296.74 and 175,801.50

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Solution

The fourth proportional to 319,041.60, 440,296.74 and 175,801.50 is: 242,616.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,041.60 : 440,296.74 = 175,801.50 : x
  2. Step 2: Convert to fraction form
    319,041.60/440,296.74 = 175,801.50/x
  3. Step 3: Cross multiply
    319,041.60x = 440,296.74 × 175,801.50
  4. Step 4: Simplify right side
    319,041.60x = 77,404,827,337.11
  5. Step 5: Solve for x
    x = 77,404,827,337.11/319,041.60
  6. Step 6: Final answer
    x = 242,616.72

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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.