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Finding the Fourth Proportional to 553,684.80, 829,144.80 and 365,678.40

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Solution

The fourth proportional to 553,684.80, 829,144.80 and 365,678.40 is: 547,604.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,684.80 : 829,144.80 = 365,678.40 : x
  2. Step 2: Convert to fraction form
    553,684.80/829,144.80 = 365,678.40/x
  3. Step 3: Cross multiply
    553,684.80x = 829,144.80 × 365,678.40
  4. Step 4: Simplify right side
    553,684.80x = 303,200,343,832.32
  5. Step 5: Solve for x
    x = 303,200,343,832.32/553,684.80
  6. Step 6: Final answer
    x = 547,604.60

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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.