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Finding the Fourth Proportional to 556,070.24, 767,410.02 and 314,375.30

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Solution

The fourth proportional to 556,070.24, 767,410.02 and 314,375.30 is: 433,856.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,070.24 : 767,410.02 = 314,375.30 : x
  2. Step 2: Convert to fraction form
    556,070.24/767,410.02 = 314,375.30/x
  3. Step 3: Cross multiply
    556,070.24x = 767,410.02 × 314,375.30
  4. Step 4: Simplify right side
    556,070.24x = 241,254,757,343.77
  5. Step 5: Solve for x
    x = 241,254,757,343.77/556,070.24
  6. Step 6: Final answer
    x = 433,856.62

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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.