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Finding the Fourth Proportional to 528,885.81, 728,953.70 and 381,831.93

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Solution

The fourth proportional to 528,885.81, 728,953.70 and 381,831.93 is: 526,272.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,885.81 : 728,953.70 = 381,831.93 : x
  2. Step 2: Convert to fraction form
    528,885.81/728,953.70 = 381,831.93/x
  3. Step 3: Cross multiply
    528,885.81x = 728,953.70 × 381,831.93
  4. Step 4: Simplify right side
    528,885.81x = 278,337,796,242.48
  5. Step 5: Solve for x
    x = 278,337,796,242.48/528,885.81
  6. Step 6: Final answer
    x = 526,272.01

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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.