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Finding the Fourth Proportional to 510,041.60, 763,312.80 and 468,051.20

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Solution

The fourth proportional to 510,041.60, 763,312.80 and 468,051.20 is: 700,471.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,041.60 : 763,312.80 = 468,051.20 : x
  2. Step 2: Convert to fraction form
    510,041.60/763,312.80 = 468,051.20/x
  3. Step 3: Cross multiply
    510,041.60x = 763,312.80 × 468,051.20
  4. Step 4: Simplify right side
    510,041.60x = 357,269,472,015.36
  5. Step 5: Solve for x
    x = 357,269,472,015.36/510,041.60
  6. Step 6: Final answer
    x = 700,471.24

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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.