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Finding the Fourth Proportional to 410,678.51, 614,519.06 and 242,279.51

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Solution

The fourth proportional to 410,678.51, 614,519.06 and 242,279.51 is: 362,535.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,678.51 : 614,519.06 = 242,279.51 : x
  2. Step 2: Convert to fraction form
    410,678.51/614,519.06 = 242,279.51/x
  3. Step 3: Cross multiply
    410,678.51x = 614,519.06 × 242,279.51
  4. Step 4: Simplify right side
    410,678.51x = 148,885,372,458.47
  5. Step 5: Solve for x
    x = 148,885,372,458.47/410,678.51
  6. Step 6: Final answer
    x = 362,535.10

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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.