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Finding the Fourth Proportional to 473,213, 709,469.58 and 286,182.92

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Solution

The fourth proportional to 473,213, 709,469.58 and 286,182.92 is: 429,062.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,213 : 709,469.58 = 286,182.92 : x
  2. Step 2: Convert to fraction form
    473,213/709,469.58 = 286,182.92/x
  3. Step 3: Cross multiply
    473,213x = 709,469.58 × 286,182.92
  4. Step 4: Simplify right side
    473,213x = 203,038,076,055.57
  5. Step 5: Solve for x
    x = 203,038,076,055.57/473,213
  6. Step 6: Final answer
    x = 429,062.76

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1.5x scale

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.