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Finding the Fourth Proportional to 346,222.71, 519,328.64 and 177,645.74

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Solution

The fourth proportional to 346,222.71, 519,328.64 and 177,645.74 is: 266,465.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,222.71 : 519,328.64 = 177,645.74 : x
  2. Step 2: Convert to fraction form
    346,222.71/519,328.64 = 177,645.74/x
  3. Step 3: Cross multiply
    346,222.71x = 519,328.64 × 177,645.74
  4. Step 4: Simplify right side
    346,222.71x = 92,256,518,403.46
  5. Step 5: Solve for x
    x = 92,256,518,403.46/346,222.71
  6. Step 6: Final answer
    x = 266,465.82

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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.