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Finding the Fourth Proportional to 397,301.96, 592,210.16 and 365,415.50

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Solution

The fourth proportional to 397,301.96, 592,210.16 and 365,415.50 is: 544,680.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,301.96 : 592,210.16 = 365,415.50 : x
  2. Step 2: Convert to fraction form
    397,301.96/592,210.16 = 365,415.50/x
  3. Step 3: Cross multiply
    397,301.96x = 592,210.16 × 365,415.50
  4. Step 4: Simplify right side
    397,301.96x = 216,402,766,933.35
  5. Step 5: Solve for x
    x = 216,402,766,933.35/397,301.96
  6. Step 6: Final answer
    x = 544,680.85

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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.