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Finding the Fourth Proportional to 1,164,827.82, 1,748,039.67 and 406,669.35

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Solution

The fourth proportional to 1,164,827.82, 1,748,039.67 and 406,669.35 is: 610,282.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164,827.82 : 1,748,039.67 = 406,669.35 : x
  2. Step 2: Convert to fraction form
    1,164,827.82/1,748,039.67 = 406,669.35/x
  3. Step 3: Cross multiply
    1,164,827.82x = 1,748,039.67 × 406,669.35
  4. Step 4: Simplify right side
    1,164,827.82x = 710,874,156,373.11
  5. Step 5: Solve for x
    x = 710,874,156,373.11/1,164,827.82
  6. Step 6: Final answer
    x = 610,282.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.