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Finding the Fourth Proportional to 473,316.48, 710,255.52 and 189,141.08

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Solution

The fourth proportional to 473,316.48, 710,255.52 and 189,141.08 is: 283,823.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,316.48 : 710,255.52 = 189,141.08 : x
  2. Step 2: Convert to fraction form
    473,316.48/710,255.52 = 189,141.08/x
  3. Step 3: Cross multiply
    473,316.48x = 710,255.52 × 189,141.08
  4. Step 4: Simplify right side
    473,316.48x = 134,338,492,577.48
  5. Step 5: Solve for x
    x = 134,338,492,577.48/473,316.48
  6. Step 6: Final answer
    x = 283,823.82

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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.