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Finding the Fourth Proportional to 473,534.87, 653,492.48 and 258,688.77

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Solution

The fourth proportional to 473,534.87, 653,492.48 and 258,688.77 is: 356,998.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,534.87 : 653,492.48 = 258,688.77 : x
  2. Step 2: Convert to fraction form
    473,534.87/653,492.48 = 258,688.77/x
  3. Step 3: Cross multiply
    473,534.87x = 653,492.48 × 258,688.77
  4. Step 4: Simplify right side
    473,534.87x = 169,051,165,855.45
  5. Step 5: Solve for x
    x = 169,051,165,855.45/473,534.87
  6. Step 6: Final answer
    x = 356,998.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.