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Finding the Fourth Proportional to 535,295.34, 802,688.76 and 310,724.66

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Solution

The fourth proportional to 535,295.34, 802,688.76 and 310,724.66 is: 465,939.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,295.34 : 802,688.76 = 310,724.66 : x
  2. Step 2: Convert to fraction form
    535,295.34/802,688.76 = 310,724.66/x
  3. Step 3: Cross multiply
    535,295.34x = 802,688.76 × 310,724.66
  4. Step 4: Simplify right side
    535,295.34x = 249,415,188,023.38
  5. Step 5: Solve for x
    x = 249,415,188,023.38/535,295.34
  6. Step 6: Final answer
    x = 465,939.40

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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.