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Finding the Fourth Proportional to 473,378.16, 710,068.53 and 189,091.91

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Solution

The fourth proportional to 473,378.16, 710,068.53 and 189,091.91 is: 283,638.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,378.16 : 710,068.53 = 189,091.91 : x
  2. Step 2: Convert to fraction form
    473,378.16/710,068.53 = 189,091.91/x
  3. Step 3: Cross multiply
    473,378.16x = 710,068.53 × 189,091.91
  4. Step 4: Simplify right side
    473,378.16x = 134,268,211,018.25
  5. Step 5: Solve for x
    x = 134,268,211,018.25/473,378.16
  6. Step 6: Final answer
    x = 283,638.37

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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.