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Finding the Fourth Proportional to 401,406.84, 602,154 and 176,670.72

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Solution

The fourth proportional to 401,406.84, 602,154 and 176,670.72 is: 265,025.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,406.84 : 602,154 = 176,670.72 : x
  2. Step 2: Convert to fraction form
    401,406.84/602,154 = 176,670.72/x
  3. Step 3: Cross multiply
    401,406.84x = 602,154 × 176,670.72
  4. Step 4: Simplify right side
    401,406.84x = 106,382,980,730.88
  5. Step 5: Solve for x
    x = 106,382,980,730.88/401,406.84
  6. Step 6: Final answer
    x = 265,025.33

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1.5x scale

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.