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Finding the Fourth Proportional to 563,492.16, 845,363.52 and 189,504

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Solution

The fourth proportional to 563,492.16, 845,363.52 and 189,504 is: 284,298.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,492.16 : 845,363.52 = 189,504 : x
  2. Step 2: Convert to fraction form
    563,492.16/845,363.52 = 189,504/x
  3. Step 3: Cross multiply
    563,492.16x = 845,363.52 × 189,504
  4. Step 4: Simplify right side
    563,492.16x = 160,199,768,494.08
  5. Step 5: Solve for x
    x = 160,199,768,494.08/563,492.16
  6. Step 6: Final answer
    x = 284,298.13

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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.