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Finding the Fourth Proportional to 652,014.20, 977,438.10 and 427,482.20

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Solution

The fourth proportional to 652,014.20, 977,438.10 and 427,482.20 is: 640,840.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,014.20 : 977,438.10 = 427,482.20 : x
  2. Step 2: Convert to fraction form
    652,014.20/977,438.10 = 427,482.20/x
  3. Step 3: Cross multiply
    652,014.20x = 977,438.10 × 427,482.20
  4. Step 4: Simplify right side
    652,014.20x = 417,837,389,351.82
  5. Step 5: Solve for x
    x = 417,837,389,351.82/652,014.20
  6. Step 6: Final answer
    x = 640,840.93

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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.