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Finding the Fourth Proportional to 506,953.02, 699,595.79 and 315,966.25

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Solution

The fourth proportional to 506,953.02, 699,595.79 and 315,966.25 is: 436,033.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,953.02 : 699,595.79 = 315,966.25 : x
  2. Step 2: Convert to fraction form
    506,953.02/699,595.79 = 315,966.25/x
  3. Step 3: Cross multiply
    506,953.02x = 699,595.79 × 315,966.25
  4. Step 4: Simplify right side
    506,953.02x = 221,048,658,282.09
  5. Step 5: Solve for x
    x = 221,048,658,282.09/506,953.02
  6. Step 6: Final answer
    x = 436,033.81

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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.