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Finding the Fourth Proportional to 832,897, 1,149,309.66 and 470,298.88

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Solution

The fourth proportional to 832,897, 1,149,309.66 and 470,298.88 is: 648,962.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,897 : 1,149,309.66 = 470,298.88 : x
  2. Step 2: Convert to fraction form
    832,897/1,149,309.66 = 470,298.88/x
  3. Step 3: Cross multiply
    832,897x = 1,149,309.66 × 470,298.88
  4. Step 4: Simplify right side
    832,897x = 540,519,045,871.18
  5. Step 5: Solve for x
    x = 540,519,045,871.18/832,897
  6. Step 6: Final answer
    x = 648,962.65

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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.