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Finding the Fourth Proportional to 567,835.94, 850,704.15 and 286,681.70

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Solution

The fourth proportional to 567,835.94, 850,704.15 and 286,681.70 is: 429,492.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,835.94 : 850,704.15 = 286,681.70 : x
  2. Step 2: Convert to fraction form
    567,835.94/850,704.15 = 286,681.70/x
  3. Step 3: Cross multiply
    567,835.94x = 850,704.15 × 286,681.70
  4. Step 4: Simplify right side
    567,835.94x = 243,881,311,919.06
  5. Step 5: Solve for x
    x = 243,881,311,919.06/567,835.94
  6. Step 6: Final answer
    x = 429,492.56

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Why These Related Problems?

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