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Finding the Fourth Proportional to 507,549.96, 700,409.75 and 300,957.38

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Solution

The fourth proportional to 507,549.96, 700,409.75 and 300,957.38 is: 415,315.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,549.96 : 700,409.75 = 300,957.38 : x
  2. Step 2: Convert to fraction form
    507,549.96/700,409.75 = 300,957.38/x
  3. Step 3: Cross multiply
    507,549.96x = 700,409.75 × 300,957.38
  4. Step 4: Simplify right side
    507,549.96x = 210,793,478,279.62
  5. Step 5: Solve for x
    x = 210,793,478,279.62/507,549.96
  6. Step 6: Final answer
    x = 415,315.72

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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.