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Finding the Fourth Proportional to 507,778.08, 761,513.73 and 152,697.84

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Solution

The fourth proportional to 507,778.08, 761,513.73 and 152,697.84 is: 229,000.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,778.08 : 761,513.73 = 152,697.84 : x
  2. Step 2: Convert to fraction form
    507,778.08/761,513.73 = 152,697.84/x
  3. Step 3: Cross multiply
    507,778.08x = 761,513.73 × 152,697.84
  4. Step 4: Simplify right side
    507,778.08x = 116,281,501,701.34
  5. Step 5: Solve for x
    x = 116,281,501,701.34/507,778.08
  6. Step 6: Final answer
    x = 229,000.63

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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.