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Finding the Fourth Proportional to 405,462.13, 607,602.67 and 194,854.03

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Solution

The fourth proportional to 405,462.13, 607,602.67 and 194,854.03 is: 291,997.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,462.13 : 607,602.67 = 194,854.03 : x
  2. Step 2: Convert to fraction form
    405,462.13/607,602.67 = 194,854.03/x
  3. Step 3: Cross multiply
    405,462.13x = 607,602.67 × 194,854.03
  4. Step 4: Simplify right side
    405,462.13x = 118,393,828,888.26
  5. Step 5: Solve for x
    x = 118,393,828,888.26/405,462.13
  6. Step 6: Final answer
    x = 291,997.25

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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.