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Finding the Fourth Proportional to 652,157.90, 977,070.45 and 402,548.30

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Solution

The fourth proportional to 652,157.90, 977,070.45 and 402,548.30 is: 603,102.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,157.90 : 977,070.45 = 402,548.30 : x
  2. Step 2: Convert to fraction form
    652,157.90/977,070.45 = 402,548.30/x
  3. Step 3: Cross multiply
    652,157.90x = 977,070.45 × 402,548.30
  4. Step 4: Simplify right side
    652,157.90x = 393,318,048,627.74
  5. Step 5: Solve for x
    x = 393,318,048,627.74/652,157.90
  6. Step 6: Final answer
    x = 603,102.48

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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.