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Finding the Fourth Proportional to 473,678.20, 710,517.30 and 470,913.40

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Solution

The fourth proportional to 473,678.20, 710,517.30 and 470,913.40 is: 706,370.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,678.20 : 710,517.30 = 470,913.40 : x
  2. Step 2: Convert to fraction form
    473,678.20/710,517.30 = 470,913.40/x
  3. Step 3: Cross multiply
    473,678.20x = 710,517.30 × 470,913.40
  4. Step 4: Simplify right side
    473,678.20x = 334,592,117,501.82
  5. Step 5: Solve for x
    x = 334,592,117,501.82/473,678.20
  6. Step 6: Final answer
    x = 706,370.10

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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.