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Finding the Fourth Proportional to 536,657.10, 804,985.65 and 402,812.70

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Solution

The fourth proportional to 536,657.10, 804,985.65 and 402,812.70 is: 604,219.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,657.10 : 804,985.65 = 402,812.70 : x
  2. Step 2: Convert to fraction form
    536,657.10/804,985.65 = 402,812.70/x
  3. Step 3: Cross multiply
    536,657.10x = 804,985.65 × 402,812.70
  4. Step 4: Simplify right side
    536,657.10x = 324,258,443,137.76
  5. Step 5: Solve for x
    x = 324,258,443,137.76/536,657.10
  6. Step 6: Final answer
    x = 604,219.05

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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.