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Finding the Fourth Proportional to 565,886.48, 780,919.26 and 311,232.20

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Solution

The fourth proportional to 565,886.48, 780,919.26 and 311,232.20 is: 429,498.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,886.48 : 780,919.26 = 311,232.20 : x
  2. Step 2: Convert to fraction form
    565,886.48/780,919.26 = 311,232.20/x
  3. Step 3: Cross multiply
    565,886.48x = 780,919.26 × 311,232.20
  4. Step 4: Simplify right side
    565,886.48x = 243,047,219,312.17
  5. Step 5: Solve for x
    x = 243,047,219,312.17/565,886.48
  6. Step 6: Final answer
    x = 429,498.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.