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Finding the Fourth Proportional to 520,041.90, 778,750.65 and 415,065.90

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Solution

The fourth proportional to 520,041.90, 778,750.65 and 415,065.90 is: 621,551.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,041.90 : 778,750.65 = 415,065.90 : x
  2. Step 2: Convert to fraction form
    520,041.90/778,750.65 = 415,065.90/x
  3. Step 3: Cross multiply
    520,041.90x = 778,750.65 × 415,065.90
  4. Step 4: Simplify right side
    520,041.90x = 323,232,839,417.84
  5. Step 5: Solve for x
    x = 323,232,839,417.84/520,041.90
  6. Step 6: Final answer
    x = 621,551.53

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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.