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Finding the Fourth Proportional to 509,447.60, 714,276.40 and 509,447.60

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Solution

The fourth proportional to 509,447.60, 714,276.40 and 509,447.60 is: 714,276.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,447.60 : 714,276.40 = 509,447.60 : x
  2. Step 2: Convert to fraction form
    509,447.60/714,276.40 = 509,447.60/x
  3. Step 3: Cross multiply
    509,447.60x = 714,276.40 × 509,447.60
  4. Step 4: Simplify right side
    509,447.60x = 363,886,397,716.64
  5. Step 5: Solve for x
    x = 363,886,397,716.64/509,447.60
  6. Step 6: Final answer
    x = 714,276.40

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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.