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Finding the Fourth Proportional to 602,740.20, 902,798.10 and 365,669.40

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Solution

The fourth proportional to 602,740.20, 902,798.10 and 365,669.40 is: 547,708.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,740.20 : 902,798.10 = 365,669.40 : x
  2. Step 2: Convert to fraction form
    602,740.20/902,798.10 = 365,669.40/x
  3. Step 3: Cross multiply
    602,740.20x = 902,798.10 × 365,669.40
  4. Step 4: Simplify right side
    602,740.20x = 330,125,639,548.14
  5. Step 5: Solve for x
    x = 330,125,639,548.14/602,740.20
  6. Step 6: Final answer
    x = 547,708.02

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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.