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Finding the Fourth Proportional to 473,623.58, 709,823 and 354,359.18

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Solution

The fourth proportional to 473,623.58, 709,823 and 354,359.18 is: 531,080.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,623.58 : 709,823 = 354,359.18 : x
  2. Step 2: Convert to fraction form
    473,623.58/709,823 = 354,359.18/x
  3. Step 3: Cross multiply
    473,623.58x = 709,823 × 354,359.18
  4. Step 4: Simplify right side
    473,623.58x = 251,532,296,225.14
  5. Step 5: Solve for x
    x = 251,532,296,225.14/473,623.58
  6. Step 6: Final answer
    x = 531,080.60

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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.