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Finding the Fourth Proportional to 535,704.54, 803,547.92 and 215,848.60

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Solution

The fourth proportional to 535,704.54, 803,547.92 and 215,848.60 is: 323,769.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,704.54 : 803,547.92 = 215,848.60 : x
  2. Step 2: Convert to fraction form
    535,704.54/803,547.92 = 215,848.60/x
  3. Step 3: Cross multiply
    535,704.54x = 803,547.92 × 215,848.60
  4. Step 4: Simplify right side
    535,704.54x = 173,444,692,095.66
  5. Step 5: Solve for x
    x = 173,444,692,095.66/535,704.54
  6. Step 6: Final answer
    x = 323,769.32

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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.