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Finding the Fourth Proportional to 464,345.46, 640,835.55 and 260,393.13

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Solution

The fourth proportional to 464,345.46, 640,835.55 and 260,393.13 is: 359,364.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,345.46 : 640,835.55 = 260,393.13 : x
  2. Step 2: Convert to fraction form
    464,345.46/640,835.55 = 260,393.13/x
  3. Step 3: Cross multiply
    464,345.46x = 640,835.55 × 260,393.13
  4. Step 4: Simplify right side
    464,345.46x = 166,869,174,679.77
  5. Step 5: Solve for x
    x = 166,869,174,679.77/464,345.46
  6. Step 6: Final answer
    x = 359,364.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.