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Finding the Fourth Proportional to 473,664.20, 710,496.30 and 470,899.40

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Solution

The fourth proportional to 473,664.20, 710,496.30 and 470,899.40 is: 706,349.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,664.20 : 710,496.30 = 470,899.40 : x
  2. Step 2: Convert to fraction form
    473,664.20/710,496.30 = 470,899.40/x
  3. Step 3: Cross multiply
    473,664.20x = 710,496.30 × 470,899.40
  4. Step 4: Simplify right side
    473,664.20x = 334,572,281,372.22
  5. Step 5: Solve for x
    x = 334,572,281,372.22/473,664.20
  6. Step 6: Final answer
    x = 706,349.10

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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.