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Finding the Fourth Proportional to 291,840.91, 402,746.65 and 164,516.47

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Solution

The fourth proportional to 291,840.91, 402,746.65 and 164,516.47 is: 227,036.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,840.91 : 402,746.65 = 164,516.47 : x
  2. Step 2: Convert to fraction form
    291,840.91/402,746.65 = 164,516.47/x
  3. Step 3: Cross multiply
    291,840.91x = 402,746.65 × 164,516.47
  4. Step 4: Simplify right side
    291,840.91x = 66,258,455,744.17
  5. Step 5: Solve for x
    x = 66,258,455,744.17/291,840.91
  6. Step 6: Final answer
    x = 227,036.22

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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.