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Finding the Fourth Proportional to 405,339.78, 605,041.40 and 357,457.80

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Solution

The fourth proportional to 405,339.78, 605,041.40 and 357,457.80 is: 533,569.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,339.78 : 605,041.40 = 357,457.80 : x
  2. Step 2: Convert to fraction form
    405,339.78/605,041.40 = 357,457.80/x
  3. Step 3: Cross multiply
    405,339.78x = 605,041.40 × 357,457.80
  4. Step 4: Simplify right side
    405,339.78x = 216,276,765,965.63
  5. Step 5: Solve for x
    x = 216,276,765,965.63/405,339.78
  6. Step 6: Final answer
    x = 533,569.06

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.