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Finding the Fourth Proportional to 291,835, 402,738.45 and 164,510.59

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Solution

The fourth proportional to 291,835, 402,738.45 and 164,510.59 is: 227,028.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,835 : 402,738.45 = 164,510.59 : x
  2. Step 2: Convert to fraction form
    291,835/402,738.45 = 164,510.59/x
  3. Step 3: Cross multiply
    291,835x = 402,738.45 × 164,510.59
  4. Step 4: Simplify right side
    291,835x = 66,254,740,025.19
  5. Step 5: Solve for x
    x = 66,254,740,025.19/291,835
  6. Step 6: Final answer
    x = 227,028.08

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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.