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Finding the Fourth Proportional to 507,264.79, 700,035.97 and 277,831.74

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Solution

The fourth proportional to 507,264.79, 700,035.97 and 277,831.74 is: 383,413.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,264.79 : 700,035.97 = 277,831.74 : x
  2. Step 2: Convert to fraction form
    507,264.79/700,035.97 = 277,831.74/x
  3. Step 3: Cross multiply
    507,264.79x = 700,035.97 × 277,831.74
  4. Step 4: Simplify right side
    507,264.79x = 194,492,211,607.69
  5. Step 5: Solve for x
    x = 194,492,211,607.69/507,264.79
  6. Step 6: Final answer
    x = 383,413.58

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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.