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Finding the Fourth Proportional to 535,740.68, 803,733.75 and 232,185.78

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Solution

The fourth proportional to 535,740.68, 803,733.75 and 232,185.78 is: 348,331.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,740.68 : 803,733.75 = 232,185.78 : x
  2. Step 2: Convert to fraction form
    535,740.68/803,733.75 = 232,185.78/x
  3. Step 3: Cross multiply
    535,740.68x = 803,733.75 × 232,185.78
  4. Step 4: Simplify right side
    535,740.68x = 186,615,547,656.08
  5. Step 5: Solve for x
    x = 186,615,547,656.08/535,740.68
  6. Step 6: Final answer
    x = 348,331.86

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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.