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Finding the Fourth Proportional to 473,158.40, 709,737.60 and 286,534.40

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Solution

The fourth proportional to 473,158.40, 709,737.60 and 286,534.40 is: 429,801.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,158.40 : 709,737.60 = 286,534.40 : x
  2. Step 2: Convert to fraction form
    473,158.40/709,737.60 = 286,534.40/x
  3. Step 3: Cross multiply
    473,158.40x = 709,737.60 × 286,534.40
  4. Step 4: Simplify right side
    473,158.40x = 203,364,237,373.44
  5. Step 5: Solve for x
    x = 203,364,237,373.44/473,158.40
  6. Step 6: Final answer
    x = 429,801.60

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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.