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Finding the Fourth Proportional to 710,965.40, 1,066,908.90 and 411,445.40

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Solution

The fourth proportional to 710,965.40, 1,066,908.90 and 411,445.40 is: 617,434.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,965.40 : 1,066,908.90 = 411,445.40 : x
  2. Step 2: Convert to fraction form
    710,965.40/1,066,908.90 = 411,445.40/x
  3. Step 3: Cross multiply
    710,965.40x = 1,066,908.90 × 411,445.40
  4. Step 4: Simplify right side
    710,965.40x = 438,974,759,124.06
  5. Step 5: Solve for x
    x = 438,974,759,124.06/710,965.40
  6. Step 6: Final answer
    x = 617,434.77

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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.