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Finding the Fourth Proportional to 314,173.60, 470,223.60 and 243,671.20

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Solution

The fourth proportional to 314,173.60, 470,223.60 and 243,671.20 is: 364,702.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,173.60 : 470,223.60 = 243,671.20 : x
  2. Step 2: Convert to fraction form
    314,173.60/470,223.60 = 243,671.20/x
  3. Step 3: Cross multiply
    314,173.60x = 470,223.60 × 243,671.20
  4. Step 4: Simplify right side
    314,173.60x = 114,579,948,880.32
  5. Step 5: Solve for x
    x = 114,579,948,880.32/314,173.60
  6. Step 6: Final answer
    x = 364,702.66

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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.