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Finding the Fourth Proportional to 348,897.60, 522,136.80 and 208,756.80

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Solution

The fourth proportional to 348,897.60, 522,136.80 and 208,756.80 is: 312,411.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,897.60 : 522,136.80 = 208,756.80 : x
  2. Step 2: Convert to fraction form
    348,897.60/522,136.80 = 208,756.80/x
  3. Step 3: Cross multiply
    348,897.60x = 522,136.80 × 208,756.80
  4. Step 4: Simplify right side
    348,897.60x = 108,999,607,530.24
  5. Step 5: Solve for x
    x = 108,999,607,530.24/348,897.60
  6. Step 6: Final answer
    x = 312,411.46

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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.