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Finding the Fourth Proportional to 301,875.71, 416,597.85 and 165,907.19

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Solution

The fourth proportional to 301,875.71, 416,597.85 and 165,907.19 is: 228,957.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,875.71 : 416,597.85 = 165,907.19 : x
  2. Step 2: Convert to fraction form
    301,875.71/416,597.85 = 165,907.19/x
  3. Step 3: Cross multiply
    301,875.71x = 416,597.85 × 165,907.19
  4. Step 4: Simplify right side
    301,875.71x = 69,116,578,653.54
  5. Step 5: Solve for x
    x = 69,116,578,653.54/301,875.71
  6. Step 6: Final answer
    x = 228,957.07

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1.5x scale

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.