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Finding the Fourth Proportional to 513,883.95, 770,821.65 and 401,658.50

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Solution

The fourth proportional to 513,883.95, 770,821.65 and 401,658.50 is: 602,484.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,883.95 : 770,821.65 = 401,658.50 : x
  2. Step 2: Convert to fraction form
    513,883.95/770,821.65 = 401,658.50/x
  3. Step 3: Cross multiply
    513,883.95x = 770,821.65 × 401,658.50
  4. Step 4: Simplify right side
    513,883.95x = 309,607,063,852.42
  5. Step 5: Solve for x
    x = 309,607,063,852.42/513,883.95
  6. Step 6: Final answer
    x = 602,484.40

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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.