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Finding the Fourth Proportional to 420,196.84, 579,875.34 and 229,211.08

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Solution

The fourth proportional to 420,196.84, 579,875.34 and 229,211.08 is: 316,313.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,196.84 : 579,875.34 = 229,211.08 : x
  2. Step 2: Convert to fraction form
    420,196.84/579,875.34 = 229,211.08/x
  3. Step 3: Cross multiply
    420,196.84x = 579,875.34 × 229,211.08
  4. Step 4: Simplify right side
    420,196.84x = 132,913,852,946.77
  5. Step 5: Solve for x
    x = 132,913,852,946.77/420,196.84
  6. Step 6: Final answer
    x = 316,313.31

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