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Finding the Fourth Proportional to 473,651.58, 710,467.38 and 153,803.10

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Solution

The fourth proportional to 473,651.58, 710,467.38 and 153,803.10 is: 230,701.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,651.58 : 710,467.38 = 153,803.10 : x
  2. Step 2: Convert to fraction form
    473,651.58/710,467.38 = 153,803.10/x
  3. Step 3: Cross multiply
    473,651.58x = 710,467.38 × 153,803.10
  4. Step 4: Simplify right side
    473,651.58x = 109,272,085,492.88
  5. Step 5: Solve for x
    x = 109,272,085,492.88/473,651.58
  6. Step 6: Final answer
    x = 230,701.41

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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.