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Finding the Fourth Proportional to 546,071.84, 819,476.81 and 191,088.93

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Solution

The fourth proportional to 546,071.84, 819,476.81 and 191,088.93 is: 286,762.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,071.84 : 819,476.81 = 191,088.93 : x
  2. Step 2: Convert to fraction form
    546,071.84/819,476.81 = 191,088.93/x
  3. Step 3: Cross multiply
    546,071.84x = 819,476.81 × 191,088.93
  4. Step 4: Simplify right side
    546,071.84x = 156,592,945,827.27
  5. Step 5: Solve for x
    x = 156,592,945,827.27/546,071.84
  6. Step 6: Final answer
    x = 286,762.54

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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.