Home / 314,547.38-471,488.70-214,459.46

Finding the Fourth Proportional to 314,547.38, 471,488.70 and 214,459.46

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Solution

The fourth proportional to 314,547.38, 471,488.70 and 214,459.46 is: 321,462.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,547.38 : 471,488.70 = 214,459.46 : x
  2. Step 2: Convert to fraction form
    314,547.38/471,488.70 = 214,459.46/x
  3. Step 3: Cross multiply
    314,547.38x = 471,488.70 × 214,459.46
  4. Step 4: Simplify right side
    314,547.38x = 101,115,211,998.10
  5. Step 5: Solve for x
    x = 101,115,211,998.10/314,547.38
  6. Step 6: Final answer
    x = 321,462.58

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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.