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Finding the Fourth Proportional to 523,981.40, 785,972.10 and 364,549.10

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Solution

The fourth proportional to 523,981.40, 785,972.10 and 364,549.10 is: 546,823.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,981.40 : 785,972.10 = 364,549.10 : x
  2. Step 2: Convert to fraction form
    523,981.40/785,972.10 = 364,549.10/x
  3. Step 3: Cross multiply
    523,981.40x = 785,972.10 × 364,549.10
  4. Step 4: Simplify right side
    523,981.40x = 286,525,421,680.11
  5. Step 5: Solve for x
    x = 286,525,421,680.11/523,981.40
  6. Step 6: Final answer
    x = 546,823.65

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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.