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Finding the Fourth Proportional to 535,095.48, 802,003.52 and 407,746.48

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Solution

The fourth proportional to 535,095.48, 802,003.52 and 407,746.48 is: 611,132.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,095.48 : 802,003.52 = 407,746.48 : x
  2. Step 2: Convert to fraction form
    535,095.48/802,003.52 = 407,746.48/x
  3. Step 3: Cross multiply
    535,095.48x = 802,003.52 × 407,746.48
  4. Step 4: Simplify right side
    535,095.48x = 327,014,112,227.61
  5. Step 5: Solve for x
    x = 327,014,112,227.61/535,095.48
  6. Step 6: Final answer
    x = 611,132.26

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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.