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Finding the Fourth Proportional to 535,423.14, 802,876.32 and 310,840.11

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Solution

The fourth proportional to 535,423.14, 802,876.32 and 310,840.11 is: 466,110.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,423.14 : 802,876.32 = 310,840.11 : x
  2. Step 2: Convert to fraction form
    535,423.14/802,876.32 = 310,840.11/x
  3. Step 3: Cross multiply
    535,423.14x = 802,876.32 × 310,840.11
  4. Step 4: Simplify right side
    535,423.14x = 249,566,163,625.20
  5. Step 5: Solve for x
    x = 249,566,163,625.20/535,423.14
  6. Step 6: Final answer
    x = 466,110.16

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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.