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Finding the Fourth Proportional to 533,967.60, 736,802.40 and 319,062.24

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Solution

The fourth proportional to 533,967.60, 736,802.40 and 319,062.24 is: 440,262.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,967.60 : 736,802.40 = 319,062.24 : x
  2. Step 2: Convert to fraction form
    533,967.60/736,802.40 = 319,062.24/x
  3. Step 3: Cross multiply
    533,967.60x = 736,802.40 × 319,062.24
  4. Step 4: Simplify right side
    533,967.60x = 235,085,824,181.38
  5. Step 5: Solve for x
    x = 235,085,824,181.38/533,967.60
  6. Step 6: Final answer
    x = 440,262.34

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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.