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Finding the Fourth Proportional to 401,064.30, 601,510.05 and 176,424.30

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Solution

The fourth proportional to 401,064.30, 601,510.05 and 176,424.30 is: 264,598.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,064.30 : 601,510.05 = 176,424.30 : x
  2. Step 2: Convert to fraction form
    401,064.30/601,510.05 = 176,424.30/x
  3. Step 3: Cross multiply
    401,064.30x = 601,510.05 × 176,424.30
  4. Step 4: Simplify right side
    401,064.30x = 106,120,989,514.22
  5. Step 5: Solve for x
    x = 106,120,989,514.22/401,064.30
  6. Step 6: Final answer
    x = 264,598.44

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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.