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Finding the Fourth Proportional to 473,196, 709,444.08 and 286,165.92

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Solution

The fourth proportional to 473,196, 709,444.08 and 286,165.92 is: 429,037.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,196 : 709,444.08 = 286,165.92 : x
  2. Step 2: Convert to fraction form
    473,196/709,444.08 = 286,165.92/x
  3. Step 3: Cross multiply
    473,196x = 709,444.08 × 286,165.92
  4. Step 4: Simplify right side
    473,196x = 203,018,717,841.75
  5. Step 5: Solve for x
    x = 203,018,717,841.75/473,196
  6. Step 6: Final answer
    x = 429,037.27

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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.