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Finding the Fourth Proportional to 473,808.80, 710,713.20 and 435,101.60

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Solution

The fourth proportional to 473,808.80, 710,713.20 and 435,101.60 is: 652,652.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,808.80 : 710,713.20 = 435,101.60 : x
  2. Step 2: Convert to fraction form
    473,808.80/710,713.20 = 435,101.60/x
  3. Step 3: Cross multiply
    473,808.80x = 710,713.20 × 435,101.60
  4. Step 4: Simplify right side
    473,808.80x = 309,232,450,461.12
  5. Step 5: Solve for x
    x = 309,232,450,461.12/473,808.80
  6. Step 6: Final answer
    x = 652,652.40

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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.