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Finding the Fourth Proportional to 509,440.10, 714,265.90 and 509,440.10

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Solution

The fourth proportional to 509,440.10, 714,265.90 and 509,440.10 is: 714,265.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,440.10 : 714,265.90 = 509,440.10 : x
  2. Step 2: Convert to fraction form
    509,440.10/714,265.90 = 509,440.10/x
  3. Step 3: Cross multiply
    509,440.10x = 714,265.90 × 509,440.10
  4. Step 4: Simplify right side
    509,440.10x = 363,875,691,522.59
  5. Step 5: Solve for x
    x = 363,875,691,522.59/509,440.10
  6. Step 6: Final answer
    x = 714,265.90

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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.