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Finding the Fourth Proportional to 509,433.10, 714,256.10 and 509,433.10

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Solution

The fourth proportional to 509,433.10, 714,256.10 and 509,433.10 is: 714,256.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,433.10 : 714,256.10 = 509,433.10 : x
  2. Step 2: Convert to fraction form
    509,433.10/714,256.10 = 509,433.10/x
  3. Step 3: Cross multiply
    509,433.10x = 714,256.10 × 509,433.10
  4. Step 4: Simplify right side
    509,433.10x = 363,865,699,216.91
  5. Step 5: Solve for x
    x = 363,865,699,216.91/509,433.10
  6. Step 6: Final answer
    x = 714,256.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.