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Finding the Fourth Proportional to 513,566.93, 771,098.16 and 364,598.21

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Solution

The fourth proportional to 513,566.93, 771,098.16 and 364,598.21 is: 547,428.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,566.93 : 771,098.16 = 364,598.21 : x
  2. Step 2: Convert to fraction form
    513,566.93/771,098.16 = 364,598.21/x
  3. Step 3: Cross multiply
    513,566.93x = 771,098.16 × 364,598.21
  4. Step 4: Simplify right side
    513,566.93x = 281,141,008,870.29
  5. Step 5: Solve for x
    x = 281,141,008,870.29/513,566.93
  6. Step 6: Final answer
    x = 547,428.18

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1.5x scale

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.