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Finding the Fourth Proportional to 507,349.92, 761,024.37 and 207,831.06

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Solution

The fourth proportional to 507,349.92, 761,024.37 and 207,831.06 is: 311,746.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,349.92 : 761,024.37 = 207,831.06 : x
  2. Step 2: Convert to fraction form
    507,349.92/761,024.37 = 207,831.06/x
  3. Step 3: Cross multiply
    507,349.92x = 761,024.37 × 207,831.06
  4. Step 4: Simplify right side
    507,349.92x = 158,164,501,502.93
  5. Step 5: Solve for x
    x = 158,164,501,502.93/507,349.92
  6. Step 6: Final answer
    x = 311,746.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.