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Finding the Fourth Proportional to 556,037.53, 767,323.47 and 314,311.66

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Solution

The fourth proportional to 556,037.53, 767,323.47 and 314,311.66 is: 433,745.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,037.53 : 767,323.47 = 314,311.66 : x
  2. Step 2: Convert to fraction form
    556,037.53/767,323.47 = 314,311.66/x
  3. Step 3: Cross multiply
    556,037.53x = 767,323.47 × 314,311.66
  4. Step 4: Simplify right side
    556,037.53x = 241,178,713,612.66
  5. Step 5: Solve for x
    x = 241,178,713,612.66/556,037.53
  6. Step 6: Final answer
    x = 433,745.39

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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.