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Finding the Fourth Proportional to 473,738.65, 653,826.01 and 301,601.63

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Solution

The fourth proportional to 473,738.65, 653,826.01 and 301,601.63 is: 416,252.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,738.65 : 653,826.01 = 301,601.63 : x
  2. Step 2: Convert to fraction form
    473,738.65/653,826.01 = 301,601.63/x
  3. Step 3: Cross multiply
    473,738.65x = 653,826.01 × 301,601.63
  4. Step 4: Simplify right side
    473,738.65x = 197,194,989,393.07
  5. Step 5: Solve for x
    x = 197,194,989,393.07/473,738.65
  6. Step 6: Final answer
    x = 416,252.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.