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Finding the Fourth Proportional to 497,729.60, 746,594.40 and 470,772.80

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Solution

The fourth proportional to 497,729.60, 746,594.40 and 470,772.80 is: 706,159.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,729.60 : 746,594.40 = 470,772.80 : x
  2. Step 2: Convert to fraction form
    497,729.60/746,594.40 = 470,772.80/x
  3. Step 3: Cross multiply
    497,729.60x = 746,594.40 × 470,772.80
  4. Step 4: Simplify right side
    497,729.60x = 351,476,336,152.32
  5. Step 5: Solve for x
    x = 351,476,336,152.32/497,729.60
  6. Step 6: Final answer
    x = 706,159.20

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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.