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Finding the Fourth Proportional to 470,282.62, 648,547.94 and 362,682.22

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Solution

The fourth proportional to 470,282.62, 648,547.94 and 362,682.22 is: 500,160.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,282.62 : 648,547.94 = 362,682.22 : x
  2. Step 2: Convert to fraction form
    470,282.62/648,547.94 = 362,682.22/x
  3. Step 3: Cross multiply
    470,282.62x = 648,547.94 × 362,682.22
  4. Step 4: Simplify right side
    470,282.62x = 235,216,806,655.63
  5. Step 5: Solve for x
    x = 235,216,806,655.63/470,282.62
  6. Step 6: Final answer
    x = 500,160.53

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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.