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Finding the Fourth Proportional to 459,590.83, 634,235.32 and 258,386.83

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Solution

The fourth proportional to 459,590.83, 634,235.32 and 258,386.83 is: 356,573.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,590.83 : 634,235.32 = 258,386.83 : x
  2. Step 2: Convert to fraction form
    459,590.83/634,235.32 = 258,386.83/x
  3. Step 3: Cross multiply
    459,590.83x = 634,235.32 × 258,386.83
  4. Step 4: Simplify right side
    459,590.83x = 163,878,053,162.87
  5. Step 5: Solve for x
    x = 163,878,053,162.87/459,590.83
  6. Step 6: Final answer
    x = 356,573.81

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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.