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Finding the Fourth Proportional to 506,810.10, 699,286.32 and 302,830.50

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Solution

The fourth proportional to 506,810.10, 699,286.32 and 302,830.50 is: 417,839.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,810.10 : 699,286.32 = 302,830.50 : x
  2. Step 2: Convert to fraction form
    506,810.10/699,286.32 = 302,830.50/x
  3. Step 3: Cross multiply
    506,810.10x = 699,286.32 × 302,830.50
  4. Step 4: Simplify right side
    506,810.10x = 211,765,225,928.76
  5. Step 5: Solve for x
    x = 211,765,225,928.76/506,810.10
  6. Step 6: Final answer
    x = 417,839.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.