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Finding the Fourth Proportional to 314,883.71, 472,208.02 and 101,598.06

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Solution

The fourth proportional to 314,883.71, 472,208.02 and 101,598.06 is: 152,359.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,883.71 : 472,208.02 = 101,598.06 : x
  2. Step 2: Convert to fraction form
    314,883.71/472,208.02 = 101,598.06/x
  3. Step 3: Cross multiply
    314,883.71x = 472,208.02 × 101,598.06
  4. Step 4: Simplify right side
    314,883.71x = 47,975,418,494.45
  5. Step 5: Solve for x
    x = 47,975,418,494.45/314,883.71
  6. Step 6: Final answer
    x = 152,359.16

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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.