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Finding the Fourth Proportional to 510,159.60, 765,239.40 and 286,210.80

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Solution

The fourth proportional to 510,159.60, 765,239.40 and 286,210.80 is: 429,316.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,159.60 : 765,239.40 = 286,210.80 : x
  2. Step 2: Convert to fraction form
    510,159.60/765,239.40 = 286,210.80/x
  3. Step 3: Cross multiply
    510,159.60x = 765,239.40 × 286,210.80
  4. Step 4: Simplify right side
    510,159.60x = 219,019,780,865.52
  5. Step 5: Solve for x
    x = 219,019,780,865.52/510,159.60
  6. Step 6: Final answer
    x = 429,316.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.