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Finding the Fourth Proportional to 517,152.48, 776,455.32 and 264,614.08

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Solution

The fourth proportional to 517,152.48, 776,455.32 and 264,614.08 is: 397,292.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,152.48 : 776,455.32 = 264,614.08 : x
  2. Step 2: Convert to fraction form
    517,152.48/776,455.32 = 264,614.08/x
  3. Step 3: Cross multiply
    517,152.48x = 776,455.32 × 264,614.08
  4. Step 4: Simplify right side
    517,152.48x = 205,461,010,162.91
  5. Step 5: Solve for x
    x = 205,461,010,162.91/517,152.48
  6. Step 6: Final answer
    x = 397,292.90

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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.