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Finding the Fourth Proportional to 602,854.20, 902,969.10 and 365,783.40

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Solution

The fourth proportional to 602,854.20, 902,969.10 and 365,783.40 is: 547,878.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,854.20 : 902,969.10 = 365,783.40 : x
  2. Step 2: Convert to fraction form
    602,854.20/902,969.10 = 365,783.40/x
  3. Step 3: Cross multiply
    602,854.20x = 902,969.10 × 365,783.40
  4. Step 4: Simplify right side
    602,854.20x = 330,291,107,492.94
  5. Step 5: Solve for x
    x = 330,291,107,492.94/602,854.20
  6. Step 6: Final answer
    x = 547,878.92

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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.