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Finding the Fourth Proportional to 456,534.51, 630,052.47 and 263,002.02

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Solution

The fourth proportional to 456,534.51, 630,052.47 and 263,002.02 is: 362,962.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,534.51 : 630,052.47 = 263,002.02 : x
  2. Step 2: Convert to fraction form
    456,534.51/630,052.47 = 263,002.02/x
  3. Step 3: Cross multiply
    456,534.51x = 630,052.47 × 263,002.02
  4. Step 4: Simplify right side
    456,534.51x = 165,705,072,315.99
  5. Step 5: Solve for x
    x = 165,705,072,315.99/456,534.51
  6. Step 6: Final answer
    x = 362,962.86

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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.