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Finding the Fourth Proportional to 507,141, 760,426.92 and 347,397.48

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Solution

The fourth proportional to 507,141, 760,426.92 and 347,397.48 is: 520,901.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,141 : 760,426.92 = 347,397.48 : x
  2. Step 2: Convert to fraction form
    507,141/760,426.92 = 347,397.48/x
  3. Step 3: Cross multiply
    507,141x = 760,426.92 × 347,397.48
  4. Step 4: Simplify right side
    507,141x = 264,170,395,732.16
  5. Step 5: Solve for x
    x = 264,170,395,732.16/507,141
  6. Step 6: Final answer
    x = 520,901.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.