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Finding the Fourth Proportional to 405,931.80, 608,897.70 and 389,602.20

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Solution

The fourth proportional to 405,931.80, 608,897.70 and 389,602.20 is: 584,403.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,931.80 : 608,897.70 = 389,602.20 : x
  2. Step 2: Convert to fraction form
    405,931.80/608,897.70 = 389,602.20/x
  3. Step 3: Cross multiply
    405,931.80x = 608,897.70 × 389,602.20
  4. Step 4: Simplify right side
    405,931.80x = 237,227,883,494.94
  5. Step 5: Solve for x
    x = 237,227,883,494.94/405,931.80
  6. Step 6: Final answer
    x = 584,403.30

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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.