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Finding the Fourth Proportional to 473,661.60, 710,492.40 and 296,714.40

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Solution

The fourth proportional to 473,661.60, 710,492.40 and 296,714.40 is: 445,071.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,661.60 : 710,492.40 = 296,714.40 : x
  2. Step 2: Convert to fraction form
    473,661.60/710,492.40 = 296,714.40/x
  3. Step 3: Cross multiply
    473,661.60x = 710,492.40 × 296,714.40
  4. Step 4: Simplify right side
    473,661.60x = 210,813,326,170.56
  5. Step 5: Solve for x
    x = 210,813,326,170.56/473,661.60
  6. Step 6: Final answer
    x = 445,071.60

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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.