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Finding the Fourth Proportional to 473,688.27, 653,670.54 and 258,835.77

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Solution

The fourth proportional to 473,688.27, 653,670.54 and 258,835.77 is: 357,182.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,688.27 : 653,670.54 = 258,835.77 : x
  2. Step 2: Convert to fraction form
    473,688.27/653,670.54 = 258,835.77/x
  3. Step 3: Cross multiply
    473,688.27x = 653,670.54 × 258,835.77
  4. Step 4: Simplify right side
    473,688.27x = 169,193,317,547.22
  5. Step 5: Solve for x
    x = 169,193,317,547.22/473,688.27
  6. Step 6: Final answer
    x = 357,182.83

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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.