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Finding the Fourth Proportional to 402,215.42, 602,404.59 and 192,000.98

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Solution

The fourth proportional to 402,215.42, 602,404.59 and 192,000.98 is: 287,563.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,215.42 : 602,404.59 = 192,000.98 : x
  2. Step 2: Convert to fraction form
    402,215.42/602,404.59 = 192,000.98/x
  3. Step 3: Cross multiply
    402,215.42x = 602,404.59 × 192,000.98
  4. Step 4: Simplify right side
    402,215.42x = 115,662,271,636.50
  5. Step 5: Solve for x
    x = 115,662,271,636.50/402,215.42
  6. Step 6: Final answer
    x = 287,563.00

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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.