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Finding the Fourth Proportional to 415,514.58, 573,677.00 and 260,678.15

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Solution

The fourth proportional to 415,514.58, 573,677.00 and 260,678.15 is: 359,903.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,514.58 : 573,677.00 = 260,678.15 : x
  2. Step 2: Convert to fraction form
    415,514.58/573,677.00 = 260,678.15/x
  3. Step 3: Cross multiply
    415,514.58x = 573,677.00 × 260,678.15
  4. Step 4: Simplify right side
    415,514.58x = 149,545,054,885.77
  5. Step 5: Solve for x
    x = 149,545,054,885.77/415,514.58
  6. Step 6: Final answer
    x = 359,903.27

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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.