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Finding the Fourth Proportional to 523,312.40, 785,843.40 and 346,602.80

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Solution

The fourth proportional to 523,312.40, 785,843.40 and 346,602.80 is: 520,483.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,312.40 : 785,843.40 = 346,602.80 : x
  2. Step 2: Convert to fraction form
    523,312.40/785,843.40 = 346,602.80/x
  3. Step 3: Cross multiply
    523,312.40x = 785,843.40 × 346,602.80
  4. Step 4: Simplify right side
    523,312.40x = 272,375,522,801.52
  5. Step 5: Solve for x
    x = 272,375,522,801.52/523,312.40
  6. Step 6: Final answer
    x = 520,483.60

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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.