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Finding the Fourth Proportional to 472,655.12, 652,263.66 and 257,794.52

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Solution

The fourth proportional to 472,655.12, 652,263.66 and 257,794.52 is: 355,756.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,655.12 : 652,263.66 = 257,794.52 : x
  2. Step 2: Convert to fraction form
    472,655.12/652,263.66 = 257,794.52/x
  3. Step 3: Cross multiply
    472,655.12x = 652,263.66 × 257,794.52
  4. Step 4: Simplify right side
    472,655.12x = 168,149,993,881.83
  5. Step 5: Solve for x
    x = 168,149,993,881.83/472,655.12
  6. Step 6: Final answer
    x = 355,756.21

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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.