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Finding the Fourth Proportional to 596,869.83, 895,415.49 and 197,514

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Solution

The fourth proportional to 596,869.83, 895,415.49 and 197,514 is: 296,307.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,869.83 : 895,415.49 = 197,514 : x
  2. Step 2: Convert to fraction form
    596,869.83/895,415.49 = 197,514/x
  3. Step 3: Cross multiply
    596,869.83x = 895,415.49 × 197,514
  4. Step 4: Simplify right side
    596,869.83x = 176,857,095,091.86
  5. Step 5: Solve for x
    x = 176,857,095,091.86/596,869.83
  6. Step 6: Final answer
    x = 296,307.65

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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.