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Finding the Fourth Proportional to 470,969.80, 651,649.80 and 410,666.20

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Solution

The fourth proportional to 470,969.80, 651,649.80 and 410,666.20 is: 568,211.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,969.80 : 651,649.80 = 410,666.20 : x
  2. Step 2: Convert to fraction form
    470,969.80/651,649.80 = 410,666.20/x
  3. Step 3: Cross multiply
    470,969.80x = 651,649.80 × 410,666.20
  4. Step 4: Simplify right side
    470,969.80x = 267,610,547,096.76
  5. Step 5: Solve for x
    x = 267,610,547,096.76/470,969.80
  6. Step 6: Final answer
    x = 568,211.69

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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.