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Finding the Fourth Proportional to 535,294.83, 802,688.01 and 310,724.16

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Solution

The fourth proportional to 535,294.83, 802,688.01 and 310,724.16 is: 465,938.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,294.83 : 802,688.01 = 310,724.16 : x
  2. Step 2: Convert to fraction form
    535,294.83/802,688.01 = 310,724.16/x
  3. Step 3: Cross multiply
    535,294.83x = 802,688.01 × 310,724.16
  4. Step 4: Simplify right side
    535,294.83x = 249,414,557,649.32
  5. Step 5: Solve for x
    x = 249,414,557,649.32/535,294.83
  6. Step 6: Final answer
    x = 465,938.66

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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.