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Finding the Fourth Proportional to 706,854.40, 1,059,918.40 and 208,153.60

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Solution

The fourth proportional to 706,854.40, 1,059,918.40 and 208,153.60 is: 312,123.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,854.40 : 1,059,918.40 = 208,153.60 : x
  2. Step 2: Convert to fraction form
    706,854.40/1,059,918.40 = 208,153.60/x
  3. Step 3: Cross multiply
    706,854.40x = 1,059,918.40 × 208,153.60
  4. Step 4: Simplify right side
    706,854.40x = 220,625,830,666.24
  5. Step 5: Solve for x
    x = 220,625,830,666.24/706,854.40
  6. Step 6: Final answer
    x = 312,123.45

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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.