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Finding the Fourth Proportional to 405,123.60, 607,685.40 and 402,499.20

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Solution

The fourth proportional to 405,123.60, 607,685.40 and 402,499.20 is: 603,748.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,123.60 : 607,685.40 = 402,499.20 : x
  2. Step 2: Convert to fraction form
    405,123.60/607,685.40 = 402,499.20/x
  3. Step 3: Cross multiply
    405,123.60x = 607,685.40 × 402,499.20
  4. Step 4: Simplify right side
    405,123.60x = 244,592,887,351.68
  5. Step 5: Solve for x
    x = 244,592,887,351.68/405,123.60
  6. Step 6: Final answer
    x = 603,748.80

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