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Finding the Fourth Proportional to 456,953.16, 630,173.94 and 313,460.04

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Solution

The fourth proportional to 456,953.16, 630,173.94 and 313,460.04 is: 432,285.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,953.16 : 630,173.94 = 313,460.04 : x
  2. Step 2: Convert to fraction form
    456,953.16/630,173.94 = 313,460.04/x
  3. Step 3: Cross multiply
    456,953.16x = 630,173.94 × 313,460.04
  4. Step 4: Simplify right side
    456,953.16x = 197,534,348,439.36
  5. Step 5: Solve for x
    x = 197,534,348,439.36/456,953.16
  6. Step 6: Final answer
    x = 432,285.77

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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.