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Finding the Fourth Proportional to 319,038.86, 478,106.76 and 176,946.68

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Solution

The fourth proportional to 319,038.86, 478,106.76 and 176,946.68 is: 265,169.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,038.86 : 478,106.76 = 176,946.68 : x
  2. Step 2: Convert to fraction form
    319,038.86/478,106.76 = 176,946.68/x
  3. Step 3: Cross multiply
    319,038.86x = 478,106.76 × 176,946.68
  4. Step 4: Simplify right side
    319,038.86x = 84,599,403,867.56
  5. Step 5: Solve for x
    x = 84,599,403,867.56/319,038.86
  6. Step 6: Final answer
    x = 265,169.59

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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.