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Finding the Fourth Proportional to 468,094.16, 645,967.28 and 253,233.60

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Solution

The fourth proportional to 468,094.16, 645,967.28 and 253,233.60 is: 349,460.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,094.16 : 645,967.28 = 253,233.60 : x
  2. Step 2: Convert to fraction form
    468,094.16/645,967.28 = 253,233.60/x
  3. Step 3: Cross multiply
    468,094.16x = 645,967.28 × 253,233.60
  4. Step 4: Simplify right side
    468,094.16x = 163,580,619,796.61
  5. Step 5: Solve for x
    x = 163,580,619,796.61/468,094.16
  6. Step 6: Final answer
    x = 349,460.93

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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.