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Finding the Fourth Proportional to 653,746.14, 900,084.15 and 557,868.06

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Solution

The fourth proportional to 653,746.14, 900,084.15 and 557,868.06 is: 768,078.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,746.14 : 900,084.15 = 557,868.06 : x
  2. Step 2: Convert to fraction form
    653,746.14/900,084.15 = 557,868.06/x
  3. Step 3: Cross multiply
    653,746.14x = 900,084.15 × 557,868.06
  4. Step 4: Simplify right side
    653,746.14x = 502,128,198,597.25
  5. Step 5: Solve for x
    x = 502,128,198,597.25/653,746.14
  6. Step 6: Final answer
    x = 768,078.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.