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Finding the Fourth Proportional to 520,026.40, 780,298.80 and 295,559.20

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Solution

The fourth proportional to 520,026.40, 780,298.80 and 295,559.20 is: 443,486.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,026.40 : 780,298.80 = 295,559.20 : x
  2. Step 2: Convert to fraction form
    520,026.40/780,298.80 = 295,559.20/x
  3. Step 3: Cross multiply
    520,026.40x = 780,298.80 × 295,559.20
  4. Step 4: Simplify right side
    520,026.40x = 230,624,489,088.96
  5. Step 5: Solve for x
    x = 230,624,489,088.96/520,026.40
  6. Step 6: Final answer
    x = 443,486.12

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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.