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Finding the Fourth Proportional to 314,952.15, 472,148.47 and 122,782.28

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Solution

The fourth proportional to 314,952.15, 472,148.47 and 122,782.28 is: 184,064.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,952.15 : 472,148.47 = 122,782.28 : x
  2. Step 2: Convert to fraction form
    314,952.15/472,148.47 = 122,782.28/x
  3. Step 3: Cross multiply
    314,952.15x = 472,148.47 × 122,782.28
  4. Step 4: Simplify right side
    314,952.15x = 57,971,465,748.36
  5. Step 5: Solve for x
    x = 57,971,465,748.36/314,952.15
  6. Step 6: Final answer
    x = 184,064.36

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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.