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Finding the Fourth Proportional to 528,137.16, 728,829.60 and 286,419.64

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Solution

The fourth proportional to 528,137.16, 728,829.60 and 286,419.64 is: 395,259.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,137.16 : 728,829.60 = 286,419.64 : x
  2. Step 2: Convert to fraction form
    528,137.16/728,829.60 = 286,419.64/x
  3. Step 3: Cross multiply
    528,137.16x = 728,829.60 × 286,419.64
  4. Step 4: Simplify right side
    528,137.16x = 208,751,111,653.34
  5. Step 5: Solve for x
    x = 208,751,111,653.34/528,137.16
  6. Step 6: Final answer
    x = 395,259.28

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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.