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Finding the Fourth Proportional to 706,283.20, 1,059,424.80 and 401,852.80

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Solution

The fourth proportional to 706,283.20, 1,059,424.80 and 401,852.80 is: 602,779.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,283.20 : 1,059,424.80 = 401,852.80 : x
  2. Step 2: Convert to fraction form
    706,283.20/1,059,424.80 = 401,852.80/x
  3. Step 3: Cross multiply
    706,283.20x = 1,059,424.80 × 401,852.80
  4. Step 4: Simplify right side
    706,283.20x = 425,732,822,269.44
  5. Step 5: Solve for x
    x = 425,732,822,269.44/706,283.20
  6. Step 6: Final answer
    x = 602,779.20

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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.