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Finding the Fourth Proportional to 524,714.40, 787,946.40 and 348,004.80

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Solution

The fourth proportional to 524,714.40, 787,946.40 and 348,004.80 is: 522,587.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,714.40 : 787,946.40 = 348,004.80 : x
  2. Step 2: Convert to fraction form
    524,714.40/787,946.40 = 348,004.80/x
  3. Step 3: Cross multiply
    524,714.40x = 787,946.40 × 348,004.80
  4. Step 4: Simplify right side
    524,714.40x = 274,209,129,342.72
  5. Step 5: Solve for x
    x = 274,209,129,342.72/524,714.40
  6. Step 6: Final answer
    x = 522,587.39

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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.