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Finding the Fourth Proportional to 314,746.30, 472,258.93 and 164,950.94

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Solution

The fourth proportional to 314,746.30, 472,258.93 and 164,950.94 is: 247,499.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,746.30 : 472,258.93 = 164,950.94 : x
  2. Step 2: Convert to fraction form
    314,746.30/472,258.93 = 164,950.94/x
  3. Step 3: Cross multiply
    314,746.30x = 472,258.93 × 164,950.94
  4. Step 4: Simplify right side
    314,746.30x = 77,899,554,426.89
  5. Step 5: Solve for x
    x = 77,899,554,426.89/314,746.30
  6. Step 6: Final answer
    x = 247,499.51

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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.